3096878400 has 1344 divisors, whose sum is σ = 15118080000. Its totient is φ = 609638400.

The previous prime is 3096878387. The next prime is 3096878413. The reversal of 3096878400 is 48786903.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3096878387) and next prime (3096878413).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162993591 + ... + 162993609.

Almost surely, 2^3096878400 is an apocalyptic number.

3096878400 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 3096878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040000).

3096878400 is an abundant number, since it is smaller than the sum of its proper divisors (12021201600).

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

3096878400 is a wasteful number, since it uses less digits than its factorization.

3096878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3096878400 is about 55649.6037721743. The cubic root of 3096878400 is about 1457.6101516586.

The spelling of 3096878400 in words is "three billion, ninety-six million, eight hundred seventy-eight thousand, four hundred".