38427644640 has 576 divisors, whose sum is σ = 157015756800. Its totient is φ = 7724851200.

The previous prime is 38427644639. The next prime is 38427644681. The reversal of 38427644640 is 4644672483.

It is a happy number.

38427644640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38427644640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12601836 + ... + 12604884.

It is an arithmetic number, because the mean of its divisors is an integer number (272596800).

Almost surely, 2^38427644640 is an apocalyptic number.

38427644640 is a gapful number since it is divisible by the number (30) 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 38427644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78507878400).

38427644640 is an abundant number, since it is smaller than the sum of its proper divisors (118588112160).

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

38427644640 is a wasteful number, since it uses less digits than its factorization.

38427644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 38427644640 in words is "thirty-eight billion, four hundred twenty-seven million, six hundred forty-four thousand, six hundred forty".