3646400 has 84 divisors (see below), whose sum is σ = 9354312. Its totient is φ = 1397760.

The previous prime is 3646399. The next prime is 3646411. The reversal of 3646400 is 46463.

3646400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 68774 + ... + 68826.

Almost surely, 2^3646400 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 3646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677156).

3646400 is an abundant number, since it is smaller than the sum of its proper divisors (5707912).

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

3646400 is a wasteful number, since it uses less digits than its factorization.

3646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3646400 is about 1909.5549219648. The cubic root of 3646400 is about 153.9175361054.

The spelling of 3646400 in words is "three million, six hundred forty-six thousand, four hundred".