3075916800 has 396 divisors, whose sum is σ = 11208029168. Its totient is φ = 743424000.

The previous prime is 3075916771. The next prime is 3075916829. The reversal of 3075916800 is 86195703.

It is an interprime number because it is at equal distance from previous prime (3075916771) and next prime (3075916829).

It is a super-2 number, since 2×3075916800² = 18922528321044480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9292635 + ... + 9292965.

Almost surely, 2^3075916800 is an apocalyptic number.

3075916800 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 3075916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604014584).

3075916800 is an abundant number, since it is smaller than the sum of its proper divisors (8132112368).

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

3075916800 is a wasteful number, since it uses less digits than its factorization.

3075916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 3075916800 is about 55460.9484231923. The cubic root of 3075916800 is about 1454.3140328792.

The spelling of 3075916800 in words is "three billion, seventy-five million, nine hundred sixteen thousand, eight hundred".