38971912320 has 1152 divisors, whose sum is σ = 162954792000. Its totient is φ = 8868372480.

The previous prime is 38971912307. The next prime is 38971912367. The reversal of 38971912320 is 2321917983.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 357540426 + ... + 357540534.

Almost surely, 2^38971912320 is an apocalyptic number.

38971912320 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 38971912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81477396000).

38971912320 is an abundant number, since it is smaller than the sum of its proper divisors (123982879680).

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

38971912320 is a wasteful number, since it uses less digits than its factorization.

38971912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 38971912320 in words is "thirty-eight billion, nine hundred seventy-one million, nine hundred twelve thousand, three hundred twenty".