3676400 has 120 divisors (see below), whose sum is σ = 10978464. Its totient is φ = 1152000.

The previous prime is 3676399. The next prime is 3676433. The reversal of 3676400 is 46763.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3676400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36350 + ... + 36450.

Almost surely, 2^3676400 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 3676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489232).

3676400 is an abundant number, since it is smaller than the sum of its proper divisors (7302064).

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

3676400 is a wasteful number, since it uses less digits than its factorization.

3676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3676400 is about 1917.3940648703. The cubic root of 3676400 is about 154.3384919707.

The spelling of 3676400 in words is "three million, six hundred seventy-six thousand, four hundred".