3801657600 has 324 divisors, whose sum is σ = 14640188836. Its totient is φ = 935608320.

The previous prime is 3801657581. The next prime is 3801657641. The reversal of 3801657600 is 67561083.

3801657600 is a `hidden beast` number, since 3 + 80 + 1 + 6 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3154176 + 3798503424 = 1776^2 + 61632^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 746262 + ... + 751338.

Almost surely, 2^3801657600 is an apocalyptic number.

3801657600 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 3801657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320094418).

3801657600 is an abundant number, since it is smaller than the sum of its proper divisors (10838531236).

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

3801657600 is a wasteful number, since it uses less digits than its factorization.

3801657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3801657600 is about 61657.5834751898. The cubic root of 3801657600 is about 1560.7176185543.

The spelling of 3801657600 in words is "three billion, eight hundred one million, six hundred fifty-seven thousand, six hundred".