3696160 has 48 divisors (see below), whose sum is σ = 9409176. Its totient is φ = 1363968.

The previous prime is 3696139. The next prime is 3696163. The reversal of 3696160 is 616963.

It can be written as a sum of positive squares in 4 ways, for example, as 2322576 + 1373584 = 1524^2 + 1172^2 .

It is not an unprimeable number, because it can be changed into a prime (3696163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1192 + ... + 2968.

Almost surely, 2^3696160 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 3696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704588).

3696160 is an abundant number, since it is smaller than the sum of its proper divisors (5713016).

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

3696160 is a wasteful number, since it uses less digits than its factorization.

3696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 3696160 is about 1922.5399865803. The cubic root of 3696160 is about 154.6145120756.

The spelling of 3696160 in words is "three million, six hundred ninety-six thousand, one hundred sixty".