3680084800 has 84 divisors (see below), whose sum is σ = 10348955680. Its totient is φ = 1261739520.

The previous prime is 3680084797. The next prime is 3680084831. The reversal of 3680084800 is 84800863.

It is a self number, because there is not a number n which added to its sum of digits gives 3680084800.

It is a congruent number.

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, 153090 + ... + 175489.

Almost surely, 2^3680084800 is an apocalyptic number.

It is an amenable number.

3680084800 is an abundant number, since it is smaller than the sum of its proper divisors (6668870880).

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

3680084800 is a wasteful number, since it uses less digits than its factorization.

3680084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328608 (or 328593 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 3680084800 is about 60663.7024916877. The cubic root of 3680084800 is about 1543.9003846351.

The spelling of 3680084800 in words is "three billion, six hundred eighty million, eighty-four thousand, eight hundred".