342413134200 has 144 divisors (see below), whose sum is σ = 1166134179600. Its totient is φ = 90024076800.

The previous prime is 342413134187. The next prime is 342413134213. The reversal of 342413134200 is 2431314243.

342413134200 is a `hidden beast` number, since 3 + 42 + 413 + 1 + 3 + 4 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (342413134187) and next prime (342413134213).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1211845 + ... + 1467444.

It is an arithmetic number, because the mean of its divisors is an integer number (8098154025).

Almost surely, 2^342413134200 is an apocalyptic number.

342413134200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342413134200 is an abundant number, since it is smaller than the sum of its proper divisors (823721045400).

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

342413134200 is a wasteful number, since it uses less digits than its factorization.

342413134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679382 (or 2679370 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 342413134200 its reverse (2431314243), we get a palindrome (344844448443).

The spelling of 342413134200 in words is "three hundred forty-two billion, four hundred thirteen million, one hundred thirty-four thousand, two hundred".