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3745339728 = 24313127167283
BaseRepresentation
bin1101111100111101…
…0101100101010000
3100200000111222020020
43133033111211100
530132301332403
61415351343440
7161545601544
oct33717254520
910600458206
103745339728
111652168199
12886381b80
13478c39a70
142775c3a24
1516dc20453
hexdf3d5950

3745339728 has 160 divisors (see below), whose sum is σ = 10601988096. Its totient is φ = 1132475904.

The previous prime is 3745339727. The next prime is 3745339747. The reversal of 3745339728 is 8279335473.

It is a super-2 number, since 2×37453397282 = 28055139356270227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745339721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13234275 + ... + 13234557.

Almost surely, 23745339728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745339728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300994048).

3745339728 is an abundant number, since it is smaller than the sum of its proper divisors (6856648368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3745339728 is a wasteful number, since it uses less digits than its factorization.

3745339728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 51.

The square root of 3745339728 is about 61199.1807788307. The cubic root of 3745339728 is about 1552.9724062523.

The spelling of 3745339728 in words is "three billion, seven hundred forty-five million, three hundred thirty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 167 208 254 283 312 334 381 501 508 566 624 668 762 849 1002 1016 1132 1336 1524 1651 1698 2004 2032 2171 2264 2672 3048 3302 3396 3679 4008 4342 4528 4953 6096 6513 6604 6792 7358 8016 8684 9906 11037 13026 13208 13584 14716 17368 19812 21209 22074 26052 26416 29432 34736 35941 39624 42418 44148 47261 52104 58864 63627 71882 79248 84836 88296 94522 104208 107823 127254 141783 143764 169672 176592 189044 215646 254508 275717 283566 287528 339344 378088 431292 467233 509016 551434 567132 575056 614393 756176 827151 862584 934466 1018032 1102868 1134264 1228786 1401699 1654302 1725168 1843179 1868932 2205736 2268528 2457572 2803398 3308604 3686358 3737864 4411472 4915144 5606796 6002147 6617208 7372716 7475728 9830288 11213592 12004294 13234416 14745432 18006441 22427184 24008588 29490864 36012882 48017176 72025764 78027911 96034352 144051528 156055822 234083733 288103056 312111644 468167466 624223288 936334932 1248446576 1872669864 3745339728