3159878400 has 648 divisors, whose sum is σ = 13700310624. Its totient is φ = 678297600.

The previous prime is 3159878369. The next prime is 3159878401. The reversal of 3159878400 is 48789513.

3159878400 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 (45).

It is not an unprimeable number, because it can be changed into a prime (3159878401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6854170 + ... + 6854630.

Almost surely, 2^3159878400 is an apocalyptic number.

3159878400 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 3159878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850155312).

3159878400 is an abundant number, since it is smaller than the sum of its proper divisors (10540432224).

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

3159878400 is a wasteful number, since it uses less digits than its factorization.

3159878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3159878400 is about 56212.7956963537. The cubic root of 3159878400 is about 1467.4279610610.

The spelling of 3159878400 in words is "three billion, one hundred fifty-nine million, eight hundred seventy-eight thousand, four hundred".