348942400 has 63 divisors (see below), whose sum is σ = 860458909. Its totient is φ = 139278080.

The previous prime is 348942397. The next prime is 348942439. The reversal of 348942400 is 4249843.

The square root of 348942400 is 18680.

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., 125619264 + 223323136 = 11208^2 + 14944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 746967 + ... + 747433.

Almost surely, 2^348942400 is an apocalyptic number.

348942400 is the 18680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348942400

348942400 is an abundant number, since it is smaller than the sum of its proper divisors (511516509).

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

348942400 is an frugal number, since it uses more digits than its factorization.

348942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 348942400 is about 704.0193262601.

The spelling of 348942400 in words is "three hundred forty-eight million, nine hundred forty-two thousand, four hundred".