342394800 has 120 divisors (see below), whose sum is σ = 1196560320. Its totient is φ = 83001600.

The previous prime is 342394799. The next prime is 342394817. The reversal of 342394800 is 8493243.

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 (33).

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, 231 + ... + 26169.

It is an arithmetic number, because the mean of its divisors is an integer number (9971336).

Almost surely, 2^342394800 is an apocalyptic number.

342394800 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 342394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598280160).

342394800 is an abundant number, since it is smaller than the sum of its proper divisors (854165520).

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

342394800 is a wasteful number, since it uses less digits than its factorization.

342394800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25971 (or 25960 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 342394800 is about 18503.9130996662. The cubic root of 342394800 is about 699.5880569429.

The spelling of 342394800 in words is "three hundred forty-two million, three hundred ninety-four thousand, eight hundred".