342434034131400 has 144 divisors (see below), whose sum is σ = 1151883667027860. Its totient is φ = 91166776819200.

The previous prime is 342434034131353. The next prime is 342434034131417. The reversal of 342434034131400 is 4131430434243.

342434034131400 is a `hidden beast` number, since 3 + 4 + 243 + 4 + 0 + 3 + 4 + 1 + 3 + 1 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 79144402786596 + 263289631344804 = 8896314^2 + 16226202^2 .

It is a super-2 number, since 2×342434034131400² (a number of 30 digits) contains 22 as substring.

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

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, 154068811 + ... + 156275610.

Almost surely, 2^{342434034131400} is an apocalyptic number.

342434034131400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342434034131400 is an abundant number, since it is smaller than the sum of its proper divisors (809449632896460).

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

342434034131400 is a wasteful number, since it uses less digits than its factorization.

342434034131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310345056 (or 310345044 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 342434034131400 its reverse (4131430434243), we get a palindrome (346565464565643).

The spelling of 342434034131400 in words is "three hundred forty-two trillion, four hundred thirty-four billion, thirty-four million, one hundred thirty-one thousand, four hundred".