3690960 has 160 divisors (see below), whose sum is σ = 14165760. Its totient is φ = 778752.

The previous prime is 3690941. The next prime is 3690961. The reversal of 3690960 is 690963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283914 + ... + 283926.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

Almost surely, 2^3690960 is an apocalyptic number.

3690960 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 3690960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082880).

3690960 is an abundant number, since it is smaller than the sum of its proper divisors (10474800).

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

3690960 is a wasteful number, since it uses less digits than its factorization.

3690960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 3690960 is about 1921.1871329988. The cubic root of 3690960 is about 154.5419707718.

The spelling of 3690960 in words is "three million, six hundred ninety thousand, nine hundred sixty".