3993306624 has 240 divisors, whose sum is σ = 11944204272. Its totient is φ = 1283702784.

The previous prime is 3993306619. The next prime is 3993306683. The reversal of 3993306624 is 4266033993.

It is a self number, because there is not a number n which added to its sum of digits gives 3993306624.

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, 20270494 + ... + 20270690.

Almost surely, 2^3993306624 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 3993306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972102136).

3993306624 is an abundant number, since it is smaller than the sum of its proper divisors (7950897648).

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

3993306624 is a wasteful number, since it uses less digits than its factorization.

3993306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 3993306624 is about 63192.6152647602. The cubic root of 3993306624 is about 1586.5151349610.

The spelling of 3993306624 in words is "three billion, nine hundred ninety-three million, three hundred six thousand, six hundred twenty-four".