3022790400 has 1080 divisors, whose sum is σ = 13800679200. Its totient is φ = 650280960.

The previous prime is 3022790399. The next prime is 3022790413. The reversal of 3022790400 is 40972203.

3022790400 is a `hidden beast` number, since 30 + 227 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 177811192 + ... + 177811208.

Almost surely, 2^3022790400 is an apocalyptic number.

3022790400 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 3022790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900339600).

3022790400 is an abundant number, since it is smaller than the sum of its proper divisors (10777888800).

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

3022790400 is an equidigital number, since it uses as much as digits as its factorization.

3022790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3022790400 is about 54979.9090577640. The cubic root of 3022790400 is about 1445.8925214101.

The spelling of 3022790400 in words is "three billion, twenty-two million, seven hundred ninety thousand, four hundred".