38355947520 has 832 divisors, whose sum is σ = 147202099200. Its totient is φ = 8422686720.

The previous prime is 38355947507. The next prime is 38355947551. The reversal of 38355947520 is 2574955383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372387789 + ... + 372387891.

It is an arithmetic number, because the mean of its divisors is an integer number (176925600).

Almost surely, 2^38355947520 is an apocalyptic number.

38355947520 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 38355947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73601049600).

38355947520 is an abundant number, since it is smaller than the sum of its proper divisors (108846151680).

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

38355947520 is a wasteful number, since it uses less digits than its factorization.

38355947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 38355947520 in words is "thirty-eight billion, three hundred fifty-five million, nine hundred forty-seven thousand, five hundred twenty".