38394388032 has 672 divisors, whose sum is σ = 139365679104. Its totient is φ = 9132963840.

The previous prime is 38394388027. The next prime is 38394388061. The reversal of 38394388032 is 23088349383.

It is a happy number.

38394388032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302317953 + ... + 302318079.

Almost surely, 2^38394388032 is an apocalyptic number.

38394388032 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 38394388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69682839552).

38394388032 is an abundant number, since it is smaller than the sum of its proper divisors (100971291072).

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

38394388032 is a wasteful number, since it uses less digits than its factorization.

38394388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

It can be divided in two parts, 38394 and 388032, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 38394388032 in words is "thirty-eight billion, three hundred ninety-four million, three hundred eighty-eight thousand, thirty-two".