3670400 has 96 divisors (see below), whose sum is σ = 9612480. Its totient is φ = 1382400.

The previous prime is 3670397. The next prime is 3670417. The reversal of 3670400 is 40763.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99182 + ... + 99218.

It is an arithmetic number, because the mean of its divisors is an integer number (100130).

Almost surely, 2^3670400 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 3670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806240).

3670400 is an abundant number, since it is smaller than the sum of its proper divisors (5942080).

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

3670400 is a wasteful number, since it uses less digits than its factorization.

3670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 3670400 is about 1915.8288023725. The cubic root of 3670400 is about 154.2544845014.

The spelling of 3670400 in words is "three million, six hundred seventy thousand, four hundred".