342909600 has 288 divisors, whose sum is σ = 1259919360. Its totient is φ = 80256000.

The previous prime is 342909577. The next prime is 342909607. The reversal of 342909600 is 6909243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (342909607) 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, 818191 + ... + 818609.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^342909600 is an apocalyptic number.

342909600 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 342909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

342909600 is an abundant number, since it is smaller than the sum of its proper divisors (917009760).

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

342909600 is a wasteful number, since it uses less digits than its factorization.

342909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 342909600 is about 18517.8184460265. The cubic root of 342909600 is about 699.9384979980.

The spelling of 342909600 in words is "three hundred forty-two million, nine hundred nine thousand, six hundred".