3640641984 has 672 divisors, whose sum is σ = 13713561600. Its totient is φ = 940584960.

The previous prime is 3640641967. The next prime is 3640641989. The reversal of 3640641984 is 4891460463.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640641989) 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, 49871772 + ... + 49871844.

Almost surely, 2^3640641984 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 3640641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856780800).

3640641984 is an abundant number, since it is smaller than the sum of its proper divisors (10072919616).

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

3640641984 is a wasteful number, since it uses less digits than its factorization.

3640641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3640641984 is about 60337.7326720188. The cubic root of 3640641984 is about 1538.3647656339.

The spelling of 3640641984 in words is "three billion, six hundred forty million, six hundred forty-one thousand, nine hundred eighty-four".