3992536224 has 192 divisors, whose sum is σ = 12394166400. Its totient is φ = 1246040064.

The previous prime is 3992536201. The next prime is 3992536237. The reversal of 3992536224 is 4226352993.

3992536224 is a `hidden beast` number, since 3 + 9 + 92 + 536 + 2 + 24 = 666.

3992536224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3992536224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3362959 + ... + 3364145.

It is an arithmetic number, because the mean of its divisors is an integer number (64552950).

Almost surely, 2^3992536224 is an apocalyptic number.

3992536224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992536224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197083200).

3992536224 is an abundant number, since it is smaller than the sum of its proper divisors (8401630176).

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

3992536224 is a wasteful number, since it uses less digits than its factorization.

3992536224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

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

The square root of 3992536224 is about 63186.5193217667. The cubic root of 3992536224 is about 1586.4131034048.

The spelling of 3992536224 in words is "three billion, nine hundred ninety-two million, five hundred thirty-six thousand, two hundred twenty-four".