342829200 has 120 divisors (see below), whose sum is σ = 1255112128. Its totient is φ = 78359040.

The previous prime is 342829189. The next prime is 342829219. The reversal of 342829200 is 2928243.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12007 + ... + 28806.

Almost surely, 2^342829200 is an apocalyptic number.

342829200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342829200 is an abundant number, since it is smaller than the sum of its proper divisors (912282928).

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

342829200 is a wasteful number, since it uses less digits than its factorization.

342829200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40841 (or 40830 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 342829200 is about 18515.6474366953. The cubic root of 342829200 is about 699.8837902324.

The spelling of 342829200 in words is "three hundred forty-two million, eight hundred twenty-nine thousand, two hundred".