345340896768 has 1280 divisors, whose sum is σ = 1302316646400. Its totient is φ = 88146247680.

The previous prime is 345340896763. The next prime is 345340896773. The reversal of 345340896768 is 867698043543.

345340896768 is a `hidden beast` number, since 3 + 4 + 534 + 0 + 8 + 96 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (345340896763) and next prime (345340896773).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345340896763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4160733655 + ... + 4160733737.

It is an arithmetic number, because the mean of its divisors is an integer number (1017434880).

Almost surely, 2^345340896768 is an apocalyptic number.

345340896768 is a gapful number since it is divisible by the number (38) 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 345340896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651158323200).

345340896768 is an abundant number, since it is smaller than the sum of its proper divisors (956975749632).

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

345340896768 is a wasteful number, since it uses less digits than its factorization.

345340896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

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

The spelling of 345340896768 in words is "three hundred forty-five billion, three hundred forty million, eight hundred ninety-six thousand, seven hundred sixty-eight".