3992160 has 48 divisors (see below), whose sum is σ = 12576816. Its totient is φ = 1064448.

The previous prime is 3992159. The next prime is 3992171. The reversal of 3992160 is 612993.

3992160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 3679 + ... + 4638.

It is an arithmetic number, because the mean of its divisors is an integer number (262017).

Almost surely, 2^3992160 is an apocalyptic number.

3992160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3992160 is an abundant number, since it is smaller than the sum of its proper divisors (8584656).

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

3992160 is a wasteful number, since it uses less digits than its factorization.

3992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 3992160 is about 1998.0390386577. The cubic root of 3992160 is about 158.6363271635.

The spelling of 3992160 in words is "three million, nine hundred ninety-two thousand, one hundred sixty".