3644606400 has 84 divisors (see below), whose sum is σ = 11957361912. Its totient is φ = 971893760.

The previous prime is 3644606393. The next prime is 3644606401. The reversal of 3644606400 is 46064463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644606401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374847 + ... + 384446.

Almost surely, 2^3644606400 is an apocalyptic number.

3644606400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3644606400 is an abundant number, since it is smaller than the sum of its proper divisors (8312755512).

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

3644606400 is a wasteful number, since it uses less digits than its factorization.

3644606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759318 (or 759303 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3644606400 is about 60370.5756142841. The cubic root of 3644606400 is about 1538.9229552387.

The spelling of 3644606400 in words is "three billion, six hundred forty-four million, six hundred six thousand, four hundred".