3643909632 has 320 divisors, whose sum is σ = 12162078720. Its totient is φ = 1067212800.

The previous prime is 3643909597. The next prime is 3643909639. The reversal of 3643909632 is 2369093463.

3643909632 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 9 + 0 + 9 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643909639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713598 + ... + 4714370.

It is an arithmetic number, because the mean of its divisors is an integer number (38006496).

Almost surely, 2^3643909632 is an apocalyptic number.

3643909632 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 3643909632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081039360).

3643909632 is an abundant number, since it is smaller than the sum of its proper divisors (8518169088).

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

3643909632 is a wasteful number, since it uses less digits than its factorization.

3643909632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 3643909632 is about 60364.8045801525. The cubic root of 3643909632 is about 1538.8248796633.

The spelling of 3643909632 in words is "three billion, six hundred forty-three million, nine hundred nine thousand, six hundred thirty-two".