3630058800 has 60 divisors (see below), whose sum is σ = 11628292200. Its totient is φ = 968015360.

The previous prime is 3630058799. The next prime is 3630058811. The reversal of 3630058800 is 88500363.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511325 + ... + 1513724.

It is an arithmetic number, because the mean of its divisors is an integer number (193804870).

Almost surely, 2^3630058800 is an apocalyptic number.

3630058800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3630058800 is an abundant number, since it is smaller than the sum of its proper divisors (7998233400).

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

3630058800 is a wasteful number, since it uses less digits than its factorization.

3630058800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025070 (or 3025059 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3630058800 is about 60249.9692945980. The cubic root of 3630058800 is about 1536.8726662713.

It can be divided in two parts, 36300 and 58800, that multiplied together give a square (2134440000 = 46200²).

The spelling of 3630058800 in words is "three billion, six hundred thirty million, fifty-eight thousand, eight hundred".