38932480512 has 480 divisors, whose sum is σ = 124095628800. Its totient is φ = 11709874176.

The previous prime is 38932480501. The next prime is 38932480529. The reversal of 38932480512 is 21508423983.

38932480512 is a `hidden beast` number, since 3 + 8 + 93 + 2 + 48 + 0 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162897289 + ... + 162897527.

It is an arithmetic number, because the mean of its divisors is an integer number (258532560).

Almost surely, 2^38932480512 is an apocalyptic number.

38932480512 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 38932480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62047814400).

38932480512 is an abundant number, since it is smaller than the sum of its proper divisors (85163148288).

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

38932480512 is a wasteful number, since it uses less digits than its factorization.

38932480512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38932480512 in words is "thirty-eight billion, nine hundred thirty-two million, four hundred eighty thousand, five hundred twelve".