38204525772 has 120 divisors (see below), whose sum is σ = 114201077760. Its totient is φ = 10909922400.

The previous prime is 38204525729. The next prime is 38204525773. The reversal of 38204525772 is 27752540283.

38204525772 is a `hidden beast` number, since 3 + 8 + 20 + 4 + 52 + 577 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (38204525773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6526647 + ... + 6532497.

It is an arithmetic number, because the mean of its divisors is an integer number (951675648).

Almost surely, 2^38204525772 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 38204525772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57100538880).

38204525772 is an abundant number, since it is smaller than the sum of its proper divisors (75996551988).

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

38204525772 is a wasteful number, since it uses less digits than its factorization.

38204525772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8753 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 38204525772 in words is "thirty-eight billion, two hundred four million, five hundred twenty-five thousand, seven hundred seventy-two".