3992186880 has 468 divisors, whose sum is σ = 15295218120. Its totient is φ = 962396160.

The previous prime is 3992186833. The next prime is 3992186897. The reversal of 3992186880 is 886812993.

It is a happy number.

3992186880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22302631 + ... + 22302809.

It is an arithmetic number, because the mean of its divisors is an integer number (32682090).

Almost surely, 2^3992186880 is an apocalyptic number.

3992186880 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 3992186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647609060).

3992186880 is an abundant number, since it is smaller than the sum of its proper divisors (11303031240).

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

3992186880 is a wasteful number, since it uses less digits than its factorization.

3992186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 3992186880 is about 63183.7548741763. The cubic root of 3992186880 is about 1586.3668320597.

The spelling of 3992186880 in words is "three billion, nine hundred ninety-two million, one hundred eighty-six thousand, eight hundred eighty".