3793204800 has 756 divisors, whose sum is σ = 16990454208. Its totient is φ = 785664000.

The previous prime is 3793204771. The next prime is 3793204841. The reversal of 3793204800 is 84023973.

3793204800 is a `hidden beast` number, since 379 + 3 + 204 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12196645 + ... + 12196955.

Almost surely, 2^3793204800 is an apocalyptic number.

3793204800 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 3793204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495227104).

3793204800 is an abundant number, since it is smaller than the sum of its proper divisors (13197249408).

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

3793204800 is a wasteful number, since it uses less digits than its factorization.

3793204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3793204800 is about 61588.9990176817. Note that the first 3 decimals coincide. The cubic root of 3793204800 is about 1559.5600337190.

The spelling of 3793204800 in words is "three billion, seven hundred ninety-three million, two hundred four thousand, eight hundred".