3704464400 has 120 divisors (see below), whose sum is σ = 10953923904. Its totient is φ = 1172390400.

The previous prime is 3704464391. The next prime is 3704464403. The reversal of 3704464400 is 44644073.

It is not an unprimeable number, because it can be changed into a prime (3704464403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14486 + ... + 87285.

Almost surely, 2^3704464400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3704464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476961952).

3704464400 is an abundant number, since it is smaller than the sum of its proper divisors (7249459504).

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

3704464400 is a wasteful number, since it uses less digits than its factorization.

3704464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101809 (or 101798 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 3704464400 is about 60864.3113819585. The cubic root of 3704464400 is about 1547.3021958029.

The spelling of 3704464400 in words is "three billion, seven hundred four million, four hundred sixty-four thousand, four hundred".