342990400 has 63 divisors (see below), whose sum is σ = 845797521. Its totient is φ = 136899840.

The previous prime is 342990397. The next prime is 342990449. The reversal of 342990400 is 4099243.

The square root of 342990400 is 18520.

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., 123476544 + 219513856 = 11112^2 + 14816^2 .

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, 740569 + ... + 741031.

Almost surely, 2^342990400 is an apocalyptic number.

342990400 is the 18520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342990400

342990400 is an abundant number, since it is smaller than the sum of its proper divisors (502807121).

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

342990400 is an frugal number, since it uses more digits than its factorization.

342990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The cubic root of 342990400 is about 699.9934693268.

The spelling of 342990400 in words is "three hundred forty-two million, nine hundred ninety thousand, four hundred".