3692160 has 96 divisors (see below), whose sum is σ = 12769380. Its totient is φ = 983040.

The previous prime is 3692159. The next prime is 3692177. The reversal of 3692160 is 612963.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 97344 = 1896^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5440 + ... + 6080.

Almost surely, 2^3692160 is an apocalyptic number.

3692160 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 3692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384690).

3692160 is an abundant number, since it is smaller than the sum of its proper divisors (9077220).

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

3692160 is a wasteful number, since it uses less digits than its factorization.

3692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3692160 is about 1921.4994145198. The cubic root of 3692160 is about 154.5587171170.

The spelling of 3692160 in words is "three million, six hundred ninety-two thousand, one hundred sixty".