345056761036800 has 2700 divisors, whose sum is σ = 1344726906282144. Its totient is φ = 87442351718400.

The previous prime is 345056761036787. The next prime is 345056761036811. The reversal of 345056761036800 is 8630167650543.

345056761036800 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 567 + 6 + 10 + 3 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a super-2 number, since 2×345056761036800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3224829542347 + ... + 3224829542453.

Almost surely, 2^{345056761036800} is an apocalyptic number.

345056761036800 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 345056761036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672363453141072).

345056761036800 is an abundant number, since it is smaller than the sum of its proper divisors (999670145245344).

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

345056761036800 is an equidigital number, since it uses as much as digits as its factorization.

345056761036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 345056761036800 in words is "three hundred forty-five trillion, fifty-six billion, seven hundred sixty-one million, thirty-six thousand, eight hundred".