3690240 has 108 divisors (see below), whose sum is σ = 12178152. Its totient is φ = 952320.

The previous prime is 3690233. The next prime is 3690251. The reversal of 3690240 is 420963.

It is a Cunningham number, because it is equal to 1921²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3690240.

It is a congruent number.

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, 119025 + ... + 119055.

Almost surely, 2^3690240 is an apocalyptic number.

3690240 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 3690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089076).

3690240 is an abundant number, since it is smaller than the sum of its proper divisors (8487912).

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

3690240 is an equidigital number, since it uses as much as digits as its factorization.

3690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3690240 is about 1920.9997397189. Note that the first 3 decimals coincide. The cubic root of 3690240 is about 154.5319212224.

The spelling of 3690240 in words is "three million, six hundred ninety thousand, two hundred forty".