346704400 has 225 divisors, whose sum is σ = 1025560941. Its totient is φ = 112613760.

The previous prime is 346704373. The next prime is 346704401. The reversal of 346704400 is 4407643.

The square root of 346704400 is 18620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 124813584 + 221890816 = 11172^2 + 14896^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346704401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18247591 + ... + 18247609.

Almost surely, 2^346704400 is an apocalyptic number.

346704400 is the 18620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346704400

346704400 is an abundant number, since it is smaller than the sum of its proper divisors (678856541).

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

346704400 is an equidigital number, since it uses as much as digits as its factorization.

346704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The cubic root of 346704400 is about 702.5109820432.

The spelling of 346704400 in words is "three hundred forty-six million, seven hundred four thousand, four hundred".