38697765120 has 576 divisors, whose sum is σ = 165220608000. Its totient is φ = 8378671104.

The previous prime is 38697765107. The next prime is 38697765131. The reversal of 38697765120 is 2156779683.

38697765120 is a `hidden beast` number, since 38 + 6 + 97 + 7 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×38697765120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4592271 + ... + 4600689.

Almost surely, 2^38697765120 is an apocalyptic number.

38697765120 is a gapful number since it is divisible by the number (30) 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 38697765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82610304000).

38697765120 is an abundant number, since it is smaller than the sum of its proper divisors (126522842880).

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

38697765120 is a wasteful number, since it uses less digits than its factorization.

38697765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 38697765120 in words is "thirty-eight billion, six hundred ninety-seven million, seven hundred sixty-five thousand, one hundred twenty".