3474400 has 72 divisors (see below), whose sum is σ = 8765064. Its totient is φ = 1344000.

The previous prime is 3474371. The next prime is 3474413. The reversal of 3474400 is 44743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34350 + ... + 34450.

It is an arithmetic number, because the mean of its divisors is an integer number (121737).

Almost surely, 2^3474400 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 3474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382532).

3474400 is an abundant number, since it is smaller than the sum of its proper divisors (5290664).

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

3474400 is a wasteful number, since it uses less digits than its factorization.

3474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 3474400 is about 1863.9742487492. The cubic root of 3474400 is about 151.4583677317.

The spelling of 3474400 in words is "three million, four hundred seventy-four thousand, four hundred".