346314341116800 has 4608 divisors, whose sum is σ = 1589606508672000. Its totient is φ = 72655440445440.

The previous prime is 346314341116787. The next prime is 346314341116823. The reversal of 346314341116800 is 8611143413643.

346314341116800 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 143 + 411 + 16 + 80 + 0 = 666.

It is a super-2 number, since 2×346314341116800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1250232278262 + ... + 1250232278538.

It is an arithmetic number, because the mean of its divisors is an integer number (344966690250).

Almost surely, 2^{346314341116800} is an apocalyptic number.

346314341116800 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 346314341116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794803254336000).

346314341116800 is an abundant number, since it is smaller than the sum of its proper divisors (1243292167555200).

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

346314341116800 is a wasteful number, since it uses less digits than its factorization.

346314341116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 346314341116800 in words is "three hundred forty-six trillion, three hundred fourteen billion, three hundred forty-one million, one hundred sixteen thousand, eight hundred".