38077605252 has 144 divisors (see below), whose sum is σ = 101169868800. Its totient is φ = 12521537280.

The previous prime is 38077605217. The next prime is 38077605271. The reversal of 38077605252 is 25250677083.

38077605252 is a `hidden beast` number, since 38 + 0 + 7 + 7 + 605 + 2 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38077605198 and 38077605207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29770749 + ... + 29772027.

Almost surely, 2^38077605252 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 38077605252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50584934400).

38077605252 is an abundant number, since it is smaller than the sum of its proper divisors (63092263548).

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

38077605252 is a wasteful number, since it uses less digits than its factorization.

38077605252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 38077605252 in words is "thirty-eight billion, seventy-seven million, six hundred five thousand, two hundred fifty-two".