38520884772 has 192 divisors, whose sum is σ = 106428000000. Its totient is φ = 12048227712.

The previous prime is 38520884729. The next prime is 38520884777. The reversal of 38520884772 is 27748802583.

38520884772 is a `hidden beast` number, since 3 + 8 + 520 + 8 + 8 + 47 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38520884777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110374854 + ... + 110375202.

It is an arithmetic number, because the mean of its divisors is an integer number (554312500).

Almost surely, 2^38520884772 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 38520884772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53214000000).

38520884772 is an abundant number, since it is smaller than the sum of its proper divisors (67907115228).

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

38520884772 is a wasteful number, since it uses less digits than its factorization.

38520884772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 38520884772 in words is "thirty-eight billion, five hundred twenty million, eight hundred eighty-four thousand, seven hundred seventy-two".