3603561624 has 96 divisors (see below), whose sum is σ = 10590980400. Its totient is φ = 1100286720.

The previous prime is 3603561617. The next prime is 3603561649. The reversal of 3603561624 is 4261653063.

3603561624 is a `hidden beast` number, since 3 + 6 + 0 + 35 + 616 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107922 + ... + 137310.

Almost surely, 2^3603561624 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 3603561624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295490200).

3603561624 is an abundant number, since it is smaller than the sum of its proper divisors (6987418776).

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

3603561624 is a wasteful number, since it uses less digits than its factorization.

3603561624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29545 (or 29538 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3603561624 is about 60029.6728626768. The cubic root of 3603561624 is about 1533.1241252482.

The spelling of 3603561624 in words is "three billion, six hundred three million, five hundred sixty-one thousand, six hundred twenty-four".