38435673624 has 128 divisors (see below), whose sum is σ = 100942545600. Its totient is φ = 12179865600.

The previous prime is 38435673623. The next prime is 38435673637. The reversal of 38435673624 is 42637653483.

38435673624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38435673623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13565712 + ... + 13568544.

Almost surely, 2^38435673624 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 38435673624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50471272800).

38435673624 is an abundant number, since it is smaller than the sum of its proper divisors (62506871976).

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

38435673624 is a wasteful number, since it uses less digits than its factorization.

38435673624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3161 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 51.

The spelling of 38435673624 in words is "thirty-eight billion, four hundred thirty-five million, six hundred seventy-three thousand, six hundred twenty-four".