345809683296 has 192 divisors, whose sum is σ = 1257489999360. Its totient is φ = 89820679680.

The previous prime is 345809683243. The next prime is 345809683357. The reversal of 345809683296 is 692386908543.

345809683296 is a `hidden beast` number, since 3 + 458 + 0 + 9 + 68 + 32 + 96 = 666.

It is a super-2 number, since 2×345809683296² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532451 + ... + 2665506.

It is an arithmetic number, because the mean of its divisors is an integer number (6549427080).

Almost surely, 2^345809683296 is an apocalyptic number.

345809683296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345809683296 is an abundant number, since it is smaller than the sum of its proper divisors (911680316064).

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

345809683296 is a wasteful number, since it uses less digits than its factorization.

345809683296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197994 (or 5197980 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 345809683296 in words is "three hundred forty-five billion, eight hundred nine million, six hundred eighty-three thousand, two hundred ninety-six".