342883200 has 384 divisors, whose sum is σ = 1311344640. Its totient is φ = 77824000.

The previous prime is 342883159. The next prime is 342883201. The reversal of 342883200 is 2388243.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342883201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795105 + ... + 1795295.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^342883200 is an apocalyptic number.

342883200 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 342883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655672320).

342883200 is an abundant number, since it is smaller than the sum of its proper divisors (968461440).

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

342883200 is a wasteful number, since it uses less digits than its factorization.

342883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 342883200 is about 18517.1056053585. The cubic root of 342883200 is about 699.9205351971.

The spelling of 342883200 in words is "three hundred forty-two million, eight hundred eighty-three thousand, two hundred".