3690900 has 72 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 983520.

The previous prime is 3690899. The next prime is 3690923. The reversal of 3690900 is 90963.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017 + ... + 3383.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 2^3690900 is an apocalyptic number.

3690900 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 3690900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

3690900 is an abundant number, since it is smaller than the sum of its proper divisors (8183340).

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

3690900 is a wasteful number, since it uses less digits than its factorization.

3690900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3690900 is about 1921.1715175902. The cubic root of 3690900 is about 154.5411333593.

The spelling of 3690900 in words is "three million, six hundred ninety thousand, nine hundred".