3992832840 has 256 divisors, whose sum is σ = 13028843520. Its totient is φ = 975237120.

The previous prime is 3992832803. The next prime is 3992832863. The reversal of 3992832840 is 482382993.

It is a self number, because there is not a number n which added to its sum of digits gives 3992832840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17904969 + ... + 17905191.

It is an arithmetic number, because the mean of its divisors is an integer number (50893920).

Almost surely, 2^3992832840 is an apocalyptic number.

3992832840 is a gapful number since it is divisible by the number (30) 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 3992832840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514421760).

3992832840 is an abundant number, since it is smaller than the sum of its proper divisors (9036010680).

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

3992832840 is a wasteful number, since it uses less digits than its factorization.

3992832840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3992832840 is about 63188.8664243947. The cubic root of 3992832840 is about 1586.4523886970.

The spelling of 3992832840 in words is "three billion, nine hundred ninety-two million, eight hundred thirty-two thousand, eight hundred forty".