38615142472704 has 2376 divisors, whose sum is σ = 147057566842368. Its totient is φ = 10079308431360.

The previous prime is 38615142472691. The next prime is 38615142472721. The reversal of 38615142472704 is 40727424151683.

38615142472704 is a `hidden beast` number, since 3 + 8 + 61 + 5 + 1 + 42 + 472 + 70 + 4 = 666.

It is a super-2 number, since 2×38615142472704² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 136449266547 + ... + 136449266829.

Almost surely, 2^{38615142472704} 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 38615142472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73528783421184).

38615142472704 is an abundant number, since it is smaller than the sum of its proper divisors (108442424369664).

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

38615142472704 is a wasteful number, since it uses less digits than its factorization.

38615142472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 38615142472704 in words is "thirty-eight trillion, six hundred fifteen billion, one hundred forty-two million, four hundred seventy-two thousand, seven hundred four".