342540972900 has 405 divisors, whose sum is σ = 1293061333179. Its totient is φ = 78210800640.

The previous prime is 342540972877. The next prime is 342540972911. The reversal of 342540972900 is 9279045243.

The square root of 342540972900 is 585270.

It is a perfect power (a square), and thus also a powerful number.

342540972900 is a `hidden beast` number, since 34 + 2 + 540 + 9 + 72 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172156946724 + 170384026176 = 414918^2 + 412776^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 368719636 + ... + 368720564.

Almost surely, 2^342540972900 is an apocalyptic number.

342540972900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

342540972900 is the 585270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342540972900

342540972900 is an abundant number, since it is smaller than the sum of its proper divisors (950520360279).

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

342540972900 is an equidigital number, since it uses as much as digits as its factorization.

342540972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 342540972900 in words is "three hundred forty-two billion, five hundred forty million, nine hundred seventy-two thousand, nine hundred".