3632729664 has 112 divisors (see below), whose sum is σ = 10098633600. Its totient is φ = 1150279680.

The previous prime is 3632729627. The next prime is 3632729669. The reversal of 3632729664 is 4669272363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3632729669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655224 + ... + 660744.

Almost surely, 2^3632729664 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 3632729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049316800).

3632729664 is an abundant number, since it is smaller than the sum of its proper divisors (6465903936).

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

3632729664 is a wasteful number, since it uses less digits than its factorization.

3632729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5698 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The square root of 3632729664 is about 60272.1300768440. The cubic root of 3632729664 is about 1537.2494986955.

The spelling of 3632729664 in words is "three billion, six hundred thirty-two million, seven hundred twenty-nine thousand, six hundred sixty-four".