3643672032 has 576 divisors, whose sum is σ = 14414561280. Its totient is φ = 871326720.

The previous prime is 3643672031. The next prime is 3643672073. The reversal of 3643672032 is 2302763463.

3643672032 is a `hidden beast` number, since 3 + 643 + 6 + 7 + 2 + 0 + 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 not an unprimeable number, because it can be changed into a prime (3643672031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9513313 + ... + 9513695.

It is an arithmetic number, because the mean of its divisors is an integer number (25025280).

Almost surely, 2^3643672032 is an apocalyptic number.

3643672032 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 3643672032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207280640).

3643672032 is an abundant number, since it is smaller than the sum of its proper divisors (10770889248).

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

3643672032 is a wasteful number, since it uses less digits than its factorization.

3643672032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3643672032 is about 60362.8365138684. The cubic root of 3643672032 is about 1538.7914327363.

The spelling of 3643672032 in words is "three billion, six hundred forty-three million, six hundred seventy-two thousand, thirty-two".