3640840632 has 576 divisors, whose sum is σ = 12966670080. Its totient is φ = 912384000.

The previous prime is 3640840597. The next prime is 3640840657. The reversal of 3640840632 is 2360480463.

It is a happy number.

3640840632 is a `hidden beast` number, since 3 + 640 + 8 + 4 + 0 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59685882 + ... + 59685942.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 2^3640840632 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 3640840632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483335040).

3640840632 is an abundant number, since it is smaller than the sum of its proper divisors (9325829448).

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

3640840632 is a wasteful number, since it uses less digits than its factorization.

3640840632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3640840632 is about 60339.3787836766. The cubic root of 3640840632 is about 1538.3927449049.

The spelling of 3640840632 in words is "three billion, six hundred forty million, eight hundred forty thousand, six hundred thirty-two".