3608400 has 120 divisors (see below), whose sum is σ = 12054784. Its totient is φ = 921600.

The previous prime is 3608393. The next prime is 3608417. The reversal of 3608400 is 48063.

3608400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37152 + ... + 37248.

Almost surely, 2^3608400 is an apocalyptic number.

3608400 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 3608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027392).

3608400 is an abundant number, since it is smaller than the sum of its proper divisors (8446384).

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

3608400 is a wasteful number, since it uses less digits than its factorization.

3608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3608400 is about 1899.5789007040. The cubic root of 3608400 is about 153.3809975742.

The spelling of 3608400 in words is "three million, six hundred eight thousand, four hundred".