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3740364396 = 22321931419421
BaseRepresentation
bin1101111011110001…
…0110111001101100
3100122200011012100200
43132330112321230
530130013130041
61415052553500
7161455400316
oct33674267154
910580135320
103740364396
11164a37a14a
12884782890
13477bb7292
14276a8a7b6
1516d58b1b6
hexdef16e6c

3740364396 has 144 divisors (see below), whose sum is σ = 10322457600. Its totient is φ = 1137628800.

The previous prime is 3740364391. The next prime is 3740364403. The reversal of 3740364396 is 6934630473.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3740364391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8884266 + ... + 8884686.

Almost surely, 23740364396 is an apocalyptic number.

3740364396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740364396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161228800).

3740364396 is an abundant number, since it is smaller than the sum of its proper divisors (6582093204).

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

3740364396 is a wasteful number, since it uses less digits than its factorization.

3740364396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3740364396 is about 61158.5185889913. The cubic root of 3740364396 is about 1552.2844422107.

The spelling of 3740364396 in words is "three billion, seven hundred forty million, three hundred sixty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 419 421 558 589 684 838 842 1116 1178 1257 1263 1676 1684 1767 2356 2514 2526 3534 3771 3789 5028 5052 5301 7068 7542 7578 7961 7999 10602 12989 13051 15084 15156 15922 15998 21204 23883 23997 25978 26102 31844 31996 38967 39153 47766 47994 51956 52204 71649 71991 77934 78306 95532 95988 116901 117459 143298 143982 155868 156612 176399 233802 234918 246791 247969 286596 287964 352798 467604 469836 493582 495938 529197 705596 740373 743907 987164 991876 1058394 1480746 1487814 1587591 2116788 2221119 2231721 2961492 2975628 3175182 3351581 4442238 4463442 5468369 6350364 6703162 8884476 8926884 10054743 10936738 13406324 16405107 20109486 21873476 30164229 32810214 40218972 49215321 60328458 65620428 98430642 103899011 120656916 196861284 207798022 311697033 415596044 623394066 935091099 1246788132 1870182198 3740364396