3992670792 has 384 divisors, whose sum is σ = 13334630400. Its totient is φ = 1105747200.

The previous prime is 3992670769. The next prime is 3992670839. The reversal of 3992670792 is 2970762993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12595018 + ... + 12595334.

It is an arithmetic number, because the mean of its divisors is an integer number (34725600).

Almost surely, 2^3992670792 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 3992670792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667315200).

3992670792 is an abundant number, since it is smaller than the sum of its proper divisors (9341959608).

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

3992670792 is a wasteful number, since it uses less digits than its factorization.

3992670792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 3992670792 is about 63187.5841601813. The cubic root of 3992670792 is about 1586.4309264983.

The spelling of 3992670792 in words is "three billion, nine hundred ninety-two million, six hundred seventy thousand, seven hundred ninety-two".