3993260544 has 480 divisors, whose sum is σ = 14477823360. Its totient is φ = 1031602176.

The previous prime is 3993260497. The next prime is 3993260599. The reversal of 3993260544 is 4450623993.

3993260544 is a `hidden beast` number, since 3 + 9 + 9 + 32 + 605 + 4 + 4 = 666.

It is a super-2 number, since 2×3993260544² = 31892259544534351872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3993260544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37320139 + ... + 37320245.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 2^3993260544 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 3993260544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238911680).

3993260544 is an abundant number, since it is smaller than the sum of its proper divisors (10484562816).

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

3993260544 is a wasteful number, since it uses less digits than its factorization.

3993260544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3993260544 is about 63192.2506641439. The cubic root of 3993260544 is about 1586.5090325080.

The spelling of 3993260544 in words is "three billion, nine hundred ninety-three million, two hundred sixty thousand, five hundred forty-four".