3892560992 has 96 divisors (see below), whose sum is σ = 8363476800. Its totient is φ = 1776107520.

The previous prime is 3892560983. The next prime is 3892561019. The reversal of 3892560992 is 2990652983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4438058 + ... + 4438934.

It is an arithmetic number, because the mean of its divisors is an integer number (87119550).

Almost surely, 2^3892560992 is an apocalyptic number.

3892560992 is a gapful number since it is divisible by the number (32) 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 3892560992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181738400).

3892560992 is an abundant number, since it is smaller than the sum of its proper divisors (4470915808).

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

3892560992 is a wasteful number, since it uses less digits than its factorization.

3892560992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The square root of 3892560992 is about 62390.3918243827. The cubic root of 3892560992 is about 1573.0594717880.

The spelling of 3892560992 in words is "three billion, eight hundred ninety-two million, five hundred sixty thousand, nine hundred ninety-two".