342849600 has 252 divisors, whose sum is σ = 1262123460. Its totient is φ = 88166400.

The previous prime is 342849587. The next prime is 342849613. The reversal of 342849600 is 6948243.

It is a happy number.

342849600 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 49 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (342849587) and next prime (342849613).

It can be written as a sum of positive squares in 6 ways, for example, as 20575296 + 322274304 = 4536^2 + 17952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 417190 + ... + 418010.

Almost surely, 2^342849600 is an apocalyptic number.

342849600 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 342849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631061730).

342849600 is an abundant number, since it is smaller than the sum of its proper divisors (919273860).

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

342849600 is a wasteful number, since it uses less digits than its factorization.

342849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 342849600 is about 18516.1983139088. The cubic root of 342849600 is about 699.8976721170.

The spelling of 342849600 in words is "three hundred forty-two million, eight hundred forty-nine thousand, six hundred".