3025468800 has 576 divisors, whose sum is σ = 11806275600. Its totient is φ = 756449280.

The previous prime is 3025468753. The next prime is 3025468811. The reversal of 3025468800 is 88645203.

3025468800 is a `hidden beast` number, since 30 + 2 + 546 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3025468800² = 18306922919546880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31190352 + ... + 31190448.

Almost surely, 2^3025468800 is an apocalyptic number.

3025468800 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 3025468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903137800).

3025468800 is an abundant number, since it is smaller than the sum of its proper divisors (8780806800).

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

3025468800 is a wasteful number, since it uses less digits than its factorization.

3025468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3025468800 is about 55004.2616530756. The cubic root of 3025468800 is about 1446.3194487146.

The spelling of 3025468800 in words is "three billion, twenty-five million, four hundred sixty-eight thousand, eight hundred".