3696400 has 30 divisors (see below), whose sum is σ = 8881562. Its totient is φ = 1478400.

The previous prime is 3696391. The next prime is 3696401. The reversal of 3696400 is 46963.

It can be written as a sum of positive squares in 3 ways, for example, as 1149184 + 2547216 = 1072^2 + 1596^2 .

It is not an unprimeable number, because it can be changed into a prime (3696401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4221 + ... + 5020.

Almost surely, 2^3696400 is an apocalyptic number.

It is an amenable number.

3696400 is an abundant number, since it is smaller than the sum of its proper divisors (5185162).

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

3696400 is a wasteful number, since it uses less digits than its factorization.

3696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9259 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3696400 is about 1922.6024029944. The cubic root of 3696400 is about 154.6178584927.

It can be divided in two parts, 3696 and 400, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3696400 in words is "three million, six hundred ninety-six thousand, four hundred".