38352690432 has 360 divisors, whose sum is σ = 132367641280. Its totient is φ = 10953169920.

The previous prime is 38352690427. The next prime is 38352690449. The reversal of 38352690432 is 23409625383.

38352690432 is a `hidden beast` number, since 3 + 8 + 3 + 526 + 90 + 4 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16594557 + ... + 16596867.

Almost surely, 2^38352690432 is an apocalyptic number.

38352690432 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 38352690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66183820640).

38352690432 is an abundant number, since it is smaller than the sum of its proper divisors (94014950848).

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

38352690432 is an frugal number, since it uses more digits than its factorization.

38352690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 38352690432 in words is "thirty-eight billion, three hundred fifty-two million, six hundred ninety thousand, four hundred thirty-two".