3690920 has 32 divisors (see below), whose sum is σ = 8466120. Its totient is φ = 1447680.

The previous prime is 3690899. The next prime is 3690923. The reversal of 3690920 is 290963.

It can be written as a sum of positive squares in 4 ways, for example, as 2067844 + 1623076 = 1438^2 + 1274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690923) 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, 1250 + ... + 2990.

Almost surely, 2^3690920 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 3690920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233060).

3690920 is an abundant number, since it is smaller than the sum of its proper divisors (4775200).

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

3690920 is a wasteful number, since it uses less digits than its factorization.

3690920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 3690920 is about 1921.1767227405. The cubic root of 3690920 is about 154.5414124978.

The spelling of 3690920 in words is "three million, six hundred ninety thousand, nine hundred twenty".