3924040637664 has 240 divisors, whose sum is σ = 13195577656800. Its totient is φ = 1120606949376.

The previous prime is 3924040637663. The next prime is 3924040637669. The reversal of 3924040637664 is 4667360404293.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3924040637664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924040637663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37851052 + ... + 37954580.

It is an arithmetic number, because the mean of its divisors is an integer number (54981573570).

Almost surely, 2^{3924040637664} 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 3924040637664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597788828400).

3924040637664 is an abundant number, since it is smaller than the sum of its proper divisors (9271537019136).

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

3924040637664 is a wasteful number, since it uses less digits than its factorization.

3924040637664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105647 (or 105630 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 3924040637664 in words is "three trillion, nine hundred twenty-four billion, forty million, six hundred thirty-seven thousand, six hundred sixty-four".