3644636160 has 528 divisors, whose sum is σ = 13407817248. Its totient is φ = 843448320.

The previous prime is 3644636119. The next prime is 3644636209. The reversal of 3644636160 is 616364463.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68766694 + ... + 68766746.

Almost surely, 2^3644636160 is an apocalyptic number.

3644636160 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 3644636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703908624).

3644636160 is an abundant number, since it is smaller than the sum of its proper divisors (9763181088).

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

3644636160 is a wasteful number, since it uses less digits than its factorization.

3644636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 3644636160 is about 60370.8220914706. The cubic root of 3644636160 is about 1538.9271439143.

The spelling of 3644636160 in words is "three billion, six hundred forty-four million, six hundred thirty-six thousand, one hundred sixty".