345799882350 has 720 divisors, whose sum is σ = 1115579928672. Its totient is φ = 79102033920.

The previous prime is 345799882343. The next prime is 345799882381. The reversal of 345799882350 is 53288997543.

345799882350 is a `hidden beast` number, since 3 + 4 + 579 + 9 + 8 + 8 + 2 + 3 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1314828319 + ... + 1314828581.

Almost surely, 2^345799882350 is an apocalyptic number.

345799882350 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 345799882350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557789964336).

345799882350 is an abundant number, since it is smaller than the sum of its proper divisors (769780046322).

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

345799882350 is a wasteful number, since it uses less digits than its factorization.

345799882350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 345799882350 in words is "three hundred forty-five billion, seven hundred ninety-nine million, eight hundred eighty-two thousand, three hundred fifty".