342037800 has 288 divisors, whose sum is σ = 1267418880. Its totient is φ = 82137600.

The previous prime is 342037789. The next prime is 342037819. The reversal of 342037800 is 8730243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1099645 + ... + 1099955.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2^342037800 is an apocalyptic number.

342037800 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 342037800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

342037800 is an abundant number, since it is smaller than the sum of its proper divisors (925381080).

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

342037800 is a wasteful number, since it uses less digits than its factorization.

342037800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 342037800 is about 18494.2639756223. The cubic root of 342037800 is about 699.3448291556.

The spelling of 342037800 in words is "three hundred forty-two million, thirty-seven thousand, eight hundred".