345766789368 has 1024 divisors, whose sum is σ = 1437585408000. Its totient is φ = 73903104000.

The previous prime is 345766789321. The next prime is 345766789397. The reversal of 345766789368 is 863987667543.

345766789368 is a `hidden beast` number, since 3 + 457 + 6 + 67 + 89 + 36 + 8 = 666.

It is a super-3 number, since 3×345766789368³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 345766789296 and 345766789305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69835293 + ... + 69840243.

It is an arithmetic number, because the mean of its divisors is an integer number (1403892000).

Almost surely, 2^345766789368 is an apocalyptic number.

345766789368 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 345766789368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718792704000).

345766789368 is an abundant number, since it is smaller than the sum of its proper divisors (1091818618632).

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

345766789368 is a wasteful number, since it uses less digits than its factorization.

345766789368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5023 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 345766789368 in words is "three hundred forty-five billion, seven hundred sixty-six million, seven hundred eighty-nine thousand, three hundred sixty-eight".