38461605624 has 128 divisors (see below), whose sum is σ = 115482931200. Its totient is φ = 11790437760.

The previous prime is 38461605617. The next prime is 38461605631. The reversal of 38461605624 is 42650616483.

38461605624 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 16 + 0 + 5 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (38461605617) and next prime (38461605631).

It is a super-2 number, since 2×38461605624² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38461605624.

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, 735697 + ... + 786239.

It is an arithmetic number, because the mean of its divisors is an integer number (902210400).

Almost surely, 2^38461605624 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 38461605624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57741465600).

38461605624 is an abundant number, since it is smaller than the sum of its proper divisors (77021325576).

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

38461605624 is a wasteful number, since it uses less digits than its factorization.

38461605624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50842 (or 50832 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38461605624 in words is "thirty-eight billion, four hundred sixty-one million, six hundred five thousand, six hundred twenty-four".