342813290688 has 560 divisors, whose sum is σ = 1166259409920. Its totient is φ = 98607974400.

The previous prime is 342813290669. The next prime is 342813290707. The reversal of 342813290688 is 886092318243.

342813290688 is a `hidden beast` number, since 3 + 428 + 132 + 9 + 0 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (342813290669) and next prime (342813290707).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 93688603 + ... + 93692261.

Almost surely, 2^342813290688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342813290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583129704960).

342813290688 is an abundant number, since it is smaller than the sum of its proper divisors (823446119232).

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

342813290688 is a wasteful number, since it uses less digits than its factorization.

342813290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 342813290688 in words is "three hundred forty-two billion, eight hundred thirteen million, two hundred ninety thousand, six hundred eighty-eight".