3630920 has 32 divisors (see below), whose sum is σ = 8363520. Its totient is φ = 1417920.

The previous prime is 3630917. The next prime is 3630923. The reversal of 3630920 is 290363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3630917) and next prime (3630923).

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3630923) 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, 665 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (261360).

Almost surely, 2^3630920 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 3630920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181760).

3630920 is an abundant number, since it is smaller than the sum of its proper divisors (4732600).

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

3630920 is a wasteful number, since it uses less digits than its factorization.

3630920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 3630920 is about 1905.4973104153. The cubic root of 3630920 is about 153.6994193236.

The spelling of 3630920 in words is "three million, six hundred thirty thousand, nine hundred twenty".