38072896512 has 528 divisors, whose sum is σ = 125453260800. Its totient is φ = 10218700800.

The previous prime is 38072896507. The next prime is 38072896577. The reversal of 38072896512 is 21569827083.

It is a super-2 number, since 2×38072896512² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191320989 + ... + 191321187.

Almost surely, 2^38072896512 is an apocalyptic number.

38072896512 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 38072896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726630400).

38072896512 is an abundant number, since it is smaller than the sum of its proper divisors (87380364288).

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

38072896512 is a wasteful number, since it uses less digits than its factorization.

38072896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 38072896512 in words is "thirty-eight billion, seventy-two million, eight hundred ninety-six thousand, five hundred twelve".