38356020864 has 288 divisors, whose sum is σ = 131533087140. Its totient is φ = 10690928640.

The previous prime is 38356020809. The next prime is 38356020893. The reversal of 38356020864 is 46802065383.

It is a happy number.

38356020864 is a `hidden beast` number, since 3 + 8 + 3 + 560 + 2 + 0 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37002369600 + 1353651264 = 192360^2 + 36792^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2306082 + ... + 2322654.

Almost surely, 2^38356020864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38356020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65766543570).

38356020864 is an abundant number, since it is smaller than the sum of its proper divisors (93177066276).

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

38356020864 is a wasteful number, since it uses less digits than its factorization.

38356020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16648 (or 16626 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38356020864 in words is "thirty-eight billion, three hundred fifty-six million, twenty thousand, eight hundred sixty-four".