345680768790 has 384 divisors, whose sum is σ = 1130277058560. Its totient is φ = 71469748224.

The previous prime is 345680768677. The next prime is 345680768791. The reversal of 345680768790 is 97867086543.

345680768790 is a `hidden beast` number, since 3 + 4 + 568 + 0 + 7 + 68 + 7 + 9 + 0 = 666.

It is a super-2 number, since 2×345680768790² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 (345680768791) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70501479 + ... + 70506381.

It is an arithmetic number, because the mean of its divisors is an integer number (2943429840).

Almost surely, 2^345680768790 is an apocalyptic number.

345680768790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345680768790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565138529280).

345680768790 is an abundant number, since it is smaller than the sum of its proper divisors (784596289770).

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

345680768790 is a wasteful number, since it uses less digits than its factorization.

345680768790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 345680768790 in words is "three hundred forty-five billion, six hundred eighty million, seven hundred sixty-eight thousand, seven hundred ninety".