345717463200 has 144 divisors (see below), whose sum is σ = 1126022304960. Its totient is φ = 92132997120.

The previous prime is 345717463199. The next prime is 345717463211. The reversal of 345717463200 is 2364717543.

It is a super-2 number, since 2×345717463200² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3816837 + ... + 3906363.

It is an arithmetic number, because the mean of its divisors is an integer number (7819599340).

Almost surely, 2^345717463200 is an apocalyptic number.

345717463200 is a gapful number since it is divisible by the number (30) 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 345717463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563011152480).

345717463200 is an abundant number, since it is smaller than the sum of its proper divisors (780304841760).

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

345717463200 is a wasteful number, since it uses less digits than its factorization.

345717463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91159 (or 91146 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 345717463200 in words is "three hundred forty-five billion, seven hundred seventeen million, four hundred sixty-three thousand, two hundred".