3606400 has 144 divisors (see below), whose sum is σ = 10814040. Its totient is φ = 1182720.

The previous prime is 3606389. The next prime is 3606413. The reversal of 3606400 is 46063.

It is a happy number.

It is a super-2 number, since 2×3606400² = 26012241920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156789 + ... + 156811.

Almost surely, 2^3606400 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 3606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407020).

3606400 is an abundant number, since it is smaller than the sum of its proper divisors (7207640).

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

3606400 is a wasteful number, since it uses less digits than its factorization.

3606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3606400 is about 1899.0523952751. The cubic root of 3606400 is about 153.3526545701.

The spelling of 3606400 in words is "three million, six hundred six thousand, four hundred".