345387298368 has 448 divisors, whose sum is σ = 1149907304448. Its totient is φ = 89243320320.

The previous prime is 345387298367. The next prime is 345387298391. The reversal of 345387298368 is 863892783543.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 345387298299 and 345387298308.

It is not an unprimeable number, because it can be changed into a prime (345387298367) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 62760705 + ... + 62766207.

It is an arithmetic number, because the mean of its divisors is an integer number (2566757376).

Almost surely, 2^345387298368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345387298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574953652224).

345387298368 is an abundant number, since it is smaller than the sum of its proper divisors (804520006080).

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

345387298368 is a wasteful number, since it uses less digits than its factorization.

345387298368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 5640 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 345387298368 in words is "three hundred forty-five billion, three hundred eighty-seven million, two hundred ninety-eight thousand, three hundred sixty-eight".