38364585552 has 160 divisors (see below), whose sum is σ = 114532133760. Its totient is φ = 12285665280.

The previous prime is 38364585541. The next prime is 38364585599. The reversal of 38364585552 is 25558546383.

It is a happy number.

38364585552 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 4 + 5 + 85 + 552 = 666.

38364585552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116208 + ... + 1150064.

It is an arithmetic number, because the mean of its divisors is an integer number (715825836).

Almost surely, 2^38364585552 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 38364585552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57266066880).

38364585552 is an abundant number, since it is smaller than the sum of its proper divisors (76167548208).

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

38364585552 is a wasteful number, since it uses less digits than its factorization.

38364585552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33978 (or 33966 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 54.

The spelling of 38364585552 in words is "thirty-eight billion, three hundred sixty-four million, five hundred eighty-five thousand, five hundred fifty-two".