3644881632 has 192 divisors, whose sum is σ = 12446784000. Its totient is φ = 1015925760.

The previous prime is 3644881609. The next prime is 3644881649. The reversal of 3644881632 is 2361884463.

3644881632 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 8 + 8 + 1 + 632 = 666.

It is a super-2 number, since 2×3644881632² = 26570324222581966848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240619 + ... + 255317.

It is an arithmetic number, because the mean of its divisors is an integer number (64827000).

Almost surely, 2^3644881632 is an apocalyptic number.

3644881632 is a gapful number since it is divisible by the number (32) 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 3644881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223392000).

3644881632 is an abundant number, since it is smaller than the sum of its proper divisors (8801902368).

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

3644881632 is a wasteful number, since it uses less digits than its factorization.

3644881632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14766 (or 14752 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3644881632 is about 60372.8550923343. The cubic root of 3644881632 is about 1538.9616928630.

The spelling of 3644881632 in words is "three billion, six hundred forty-four million, eight hundred eighty-one thousand, six hundred thirty-two".