3992280864 has 288 divisors, whose sum is σ = 12692417472. Its totient is φ = 1083187200.

The previous prime is 3992280857. The next prime is 3992280899. The reversal of 3992280864 is 4680822993.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23076682 + ... + 23076854.

It is an arithmetic number, because the mean of its divisors is an integer number (44070894).

Almost surely, 2^3992280864 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 3992280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346208736).

3992280864 is an abundant number, since it is smaller than the sum of its proper divisors (8700136608).

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

3992280864 is a wasteful number, since it uses less digits than its factorization.

3992280864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3992280864 is about 63184.4986052750. The cubic root of 3992280864 is about 1586.3792807029.

It can be divided in two parts, 39922 and 80864, that added together give a triangular number (120786 = T₄₉₁).

The spelling of 3992280864 in words is "three billion, nine hundred ninety-two million, two hundred eighty thousand, eight hundred sixty-four".