3678400 has 126 divisors (see below), whose sum is σ = 10472420. Its totient is φ = 1267200.

The previous prime is 3678391. The next prime is 3678407. The reversal of 3678400 is 48763.

It is not an unprimeable number, because it can be changed into a prime (3678407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 193591 + ... + 193609.

Almost surely, 2^3678400 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 3678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236210).

3678400 is an abundant number, since it is smaller than the sum of its proper divisors (6794020).

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

3678400 is a wasteful number, since it uses less digits than its factorization.

3678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3678400 is about 1917.9155351579. The cubic root of 3678400 is about 154.3664741476.

It can be divided in two parts, 36 and 78400, that multiplied together give a square (2822400 = 1680²).

The spelling of 3678400 in words is "three million, six hundred seventy-eight thousand, four hundred".