3692404800 has 378 divisors, whose sum is σ = 15269237178. Its totient is φ = 843816960.

The previous prime is 3692404753. The next prime is 3692404817. The reversal of 3692404800 is 84042963.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 997549056 + 2694855744 = 31584^2 + 51912^2 .

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 53 ways as a sum of consecutive naturals, for example, 702984 + ... + 708216.

Almost surely, 2^3692404800 is an apocalyptic number.

3692404800 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 3692404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634618589).

3692404800 is an abundant number, since it is smaller than the sum of its proper divisors (11576832378).

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

3692404800 is a wasteful number, since it uses less digits than its factorization.

3692404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3692404800 is about 60765.1610711269. The cubic root of 3692404800 is about 1545.6213292583.

The spelling of 3692404800 in words is "three billion, six hundred ninety-two million, four hundred four thousand, eight hundred".