38872065600 has 567 divisors, whose sum is σ = 145505484579. Its totient is φ = 9842227200.

The previous prime is 38872065563. The next prime is 38872065613. The reversal of 38872065600 is 656027883.

The square root of 38872065600 is 197160.

It is a perfect power (a square), and thus also a powerful number.

38872065600 is a `hidden beast` number, since 3 + 8 + 87 + 2 + 0 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 292820544 + 38579245056 = 17112^2 + 196416^2 .

It is a super-2 number, since 2×38872065600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 733435174 + ... + 733435226.

Almost surely, 2^38872065600 is an apocalyptic number.

38872065600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38872065600 is the 197160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38872065600

38872065600 is an abundant number, since it is smaller than the sum of its proper divisors (106633418979).

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

38872065600 is a wasteful number, since it uses less digits than its factorization.

38872065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38872065600 in words is "thirty-eight billion, eight hundred seventy-two million, sixty-five thousand, six hundred".