3563250624 has 84 divisors (see below), whose sum is σ = 10222397640. Its totient is φ = 1186705920.

The previous prime is 3563250617. The next prime is 3563250637. The reversal of 3563250624 is 4260523653.

3563250624 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 25 + 0 + 624 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 930634 + ... + 934454.

It is an arithmetic number, because the mean of its divisors is an integer number (121695210).

Almost surely, 2^3563250624 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 3563250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111198820).

3563250624 is an abundant number, since it is smaller than the sum of its proper divisors (6659147016).

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

3563250624 is a wasteful number, since it uses less digits than its factorization.

3563250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3563250624 is about 59692.9696362980. The cubic root of 3563250624 is about 1527.3859451628.

The spelling of 3563250624 in words is "three billion, five hundred sixty-three million, two hundred fifty thousand, six hundred twenty-four".