38948792332032 has 1296 divisors, whose sum is σ = 141116528367360. Its totient is φ = 10182205440000.

The previous prime is 38948792331991. The next prime is 38948792332061. The reversal of 38948792332032 is 23023329784983.

38948792332032 is a `hidden beast` number, since 3 + 8 + 9 + 487 + 92 + 3 + 32 + 0 + 32 = 666.

38948792332032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7866851157 + ... + 7866856107.

It is an arithmetic number, because the mean of its divisors is an integer number (108886210160).

Almost surely, 2^{38948792332032} is an apocalyptic number.

38948792332032 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 38948792332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70558264183680).

38948792332032 is an abundant number, since it is smaller than the sum of its proper divisors (102167736035328).

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

38948792332032 is a wasteful number, since it uses less digits than its factorization.

38948792332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 38948792332032 in words is "thirty-eight trillion, nine hundred forty-eight billion, seven hundred ninety-two million, three hundred thirty-two thousand, thirty-two".