342975492864 has 720 divisors, whose sum is σ = 1121434288128. Its totient is φ = 103840579584.

The previous prime is 342975492791. The next prime is 342975492877. The reversal of 342975492864 is 468294579243.

342975492864 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 7 + 549 + 2 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2104144047 + ... + 2104144209.

Almost surely, 2^342975492864 is an apocalyptic number.

342975492864 is a gapful number since it is divisible by the number (34) 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 342975492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560717144064).

342975492864 is an abundant number, since it is smaller than the sum of its proper divisors (778458795264).

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

342975492864 is a wasteful number, since it uses less digits than its factorization.

342975492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 342975492864 in words is "three hundred forty-two billion, nine hundred seventy-five million, four hundred ninety-two thousand, eight hundred sixty-four".