342955200 has 336 divisors, whose sum is σ = 1315272960. Its totient is φ = 76615680.

The previous prime is 342955169. The next prime is 342955211. The reversal of 342955200 is 2559243.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1982314 + ... + 1982486.

Almost surely, 2^342955200 is an apocalyptic number.

342955200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657636480).

342955200 is an abundant number, since it is smaller than the sum of its proper divisors (972317760).

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

342955200 is a wasteful number, since it uses less digits than its factorization.

342955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 342955200 is about 18519.0496516425. The cubic root of 342955200 is about 699.9695224826.

The spelling of 342955200 in words is "three hundred forty-two million, nine hundred fifty-five thousand, two hundred".