3045218400 has 864 divisors, whose sum is σ = 13337146368. Its totient is φ = 638668800.

The previous prime is 3045218357. The next prime is 3045218417. The reversal of 3045218400 is 48125403.

3045218400 is a `hidden beast` number, since 3 + 0 + 45 + 218 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42890365 + ... + 42890435.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 2^3045218400 is an apocalyptic number.

3045218400 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 3045218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668573184).

3045218400 is an abundant number, since it is smaller than the sum of its proper divisors (10291927968).

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

3045218400 is a wasteful number, since it uses less digits than its factorization.

3045218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3045218400 is about 55183.4975332300. The cubic root of 3045218400 is about 1449.4597115088.

It can be divided in two parts, 3045 and 218400, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 3045218400 in words is "three billion, forty-five million, two hundred eighteen thousand, four hundred".