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3722130944 = 2972891667
BaseRepresentation
bin1101110111011011…
…0011011000000000
3100121101211211202122
43131312303120000
530110331142234
61413202103412
7161144406500
oct33566633000
910541754678
103722130944
111640056084
1287a64ab68
134741a1c5c
142744a1a00
1516bb8892e
hexdddb3600

3722130944 has 120 divisors (see below), whose sum is σ = 8753647320. Its totient is φ = 1576329216.

The previous prime is 3722130901. The next prime is 3722130949. The reversal of 3722130944 is 4490312273.

3722130944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37221309442 = 27708517528564662272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722130949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2231999 + ... + 2233665.

It is an arithmetic number, because the mean of its divisors is an integer number (72947061).

Almost surely, 23722130944 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 3722130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376823660).

3722130944 is an abundant number, since it is smaller than the sum of its proper divisors (5031516376).

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

3722130944 is an equidigital number, since it uses as much as digits as its factorization.

3722130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 3722130944 is about 61009.2693285209. The cubic root of 3722130944 is about 1549.7579842742.

The spelling of 3722130944 in words is "three billion, seven hundred twenty-two million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 512 623 712 784 896 1246 1424 1568 1667 1792 2492 2848 3136 3334 3584 4361 4984 5696 6272 6668 8722 9968 11392 11669 12544 13336 17444 19936 22784 23338 25088 26672 34888 39872 45568 46676 53344 69776 79744 81683 93352 106688 139552 148363 159488 163366 186704 213376 279104 296726 318976 326732 373408 426752 558208 593452 653464 746816 853504 1038541 1116416 1186904 1306928 1493632 2077082 2232832 2373808 2613856 2987264 4154164 4747616 5227712 5974528 7269787 8308328 9495232 10455424 14539574 16616656 18990464 20910848 29079148 33233312 37980928 41821696 58158296 66466624 75961856 116316592 132933248 232633184 265866496 465266368 531732992 930532736 1861065472 3722130944