38706522624 has 1600 divisors, whose sum is σ = 164272914432. Its totient is φ = 8758886400.

The previous prime is 38706522623. The next prime is 38706522629. The reversal of 38706522624 is 42622560783.

38706522624 is a `hidden beast` number, since 38 + 70 + 6 + 522 + 6 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38706522624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38706522623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1248597489 + ... + 1248597519.

Almost surely, 2^38706522624 is an apocalyptic number.

38706522624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38706522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82136457216).

38706522624 is an abundant number, since it is smaller than the sum of its proper divisors (125566391808).

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

38706522624 is a wasteful number, since it uses less digits than its factorization.

38706522624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38706522624 in words is "thirty-eight billion, seven hundred six million, five hundred twenty-two thousand, six hundred twenty-four".