3640003584 has 352 divisors, whose sum is σ = 11947929600. Its totient is φ = 962150400.

The previous prime is 3640003583. The next prime is 3640003607. The reversal of 3640003584 is 4853000463.

It is not an unprimeable number, because it can be changed into a prime (3640003583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24105909 + ... + 24106059.

Almost surely, 2^3640003584 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 3640003584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973964800).

3640003584 is an abundant number, since it is smaller than the sum of its proper divisors (8307926016).

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

3640003584 is a wasteful number, since it uses less digits than its factorization.

3640003584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3640003584 is about 60332.4422180969. The cubic root of 3640003584 is about 1538.2748410656.

The spelling of 3640003584 in words is "three billion, six hundred forty million, three thousand, five hundred eighty-four".