3640987584 has 504 divisors, whose sum is σ = 12598054560. Its totient is φ = 1034643456.

The previous prime is 3640987573. The next prime is 3640987601. The reversal of 3640987584 is 4857890463.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3640987584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125551282 + ... + 125551310.

It is an arithmetic number, because the mean of its divisors is an integer number (24996140).

Almost surely, 2^3640987584 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 3640987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299027280).

3640987584 is an abundant number, since it is smaller than the sum of its proper divisors (8957066976).

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

3640987584 is an equidigital number, since it uses as much as digits as its factorization.

3640987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3640987584 is about 60340.5964836278. The cubic root of 3640987584 is about 1538.4134422174.

The spelling of 3640987584 in words is "three billion, six hundred forty million, nine hundred eighty-seven thousand, five hundred eighty-four".