3690720 has 144 divisors (see below), whose sum is σ = 13798512. Its totient is φ = 890880.

The previous prime is 3690703. The next prime is 3690721. The reversal of 3690720 is 270963.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15724 + ... + 15956.

It is an arithmetic number, because the mean of its divisors is an integer number (95823).

Almost surely, 2^3690720 is an apocalyptic number.

3690720 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 3690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899256).

3690720 is an abundant number, since it is smaller than the sum of its proper divisors (10107792).

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

3690720 is a wasteful number, since it uses less digits than its factorization.

3690720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3690720 is about 1921.1246706031. The cubic root of 3690720 is about 154.5386210673.

The spelling of 3690720 in words is "three million, six hundred ninety thousand, seven hundred twenty".