38895132672 has 336 divisors, whose sum is σ = 123698203200. Its totient is φ = 11678515200.

The previous prime is 38895132613. The next prime is 38895132733. The reversal of 38895132672 is 27623159883.

38895132672 is a `hidden beast` number, since 38 + 8 + 9 + 513 + 26 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161390472 + ... + 161390712.

Almost surely, 2^38895132672 is an apocalyptic number.

38895132672 is a gapful number since it is divisible by the number (32) 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 38895132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61849101600).

38895132672 is an abundant number, since it is smaller than the sum of its proper divisors (84803070528).

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

38895132672 is a wasteful number, since it uses less digits than its factorization.

38895132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 456 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 38895132672 in words is "thirty-eight billion, eight hundred ninety-five million, one hundred thirty-two thousand, six hundred seventy-two".