3157638144 has 88 divisors (see below), whose sum is σ = 8500421328. Its totient is φ = 1042022400.

The previous prime is 3157638097. The next prime is 3157638149. The reversal of 3157638144 is 4418367513.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3157638096 and 3157638105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3157638149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305184 + ... + 315360.

Almost surely, 2^3157638144 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 3157638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250210664).

3157638144 is an abundant number, since it is smaller than the sum of its proper divisors (5342783184).

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

3157638144 is a wasteful number, since it uses less digits than its factorization.

3157638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10283 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 3157638144 is about 56192.8655969777. The cubic root of 3157638144 is about 1467.0810920705.

The spelling of 3157638144 in words is "three billion, one hundred fifty-seven million, six hundred thirty-eight thousand, one hundred forty-four".