346400 has 36 divisors (see below), whose sum is σ = 847602. Its totient is φ = 138240.

The previous prime is 346399. The next prime is 346417. The reversal of 346400 is 4643.

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 163216 = 428^2 + 404^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 584 + ... + 1016.

2³⁴⁶⁴⁰⁰ 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 346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423801).

346400 is an abundant number, since it is smaller than the sum of its proper divisors (501202).

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

346400 is a wasteful number, since it uses less digits than its factorization.

346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 346400 is about 588.5575587825. The cubic root of 346400 is about 70.2305324662.

The spelling of 346400 in words is "three hundred forty-six thousand, four hundred".