345265804800 has 1200 divisors, whose sum is σ = 1476828235872. Its totient is φ = 78033715200.

The previous prime is 345265804799. The next prime is 345265804811. The reversal of 345265804800 is 8408562543.

345265804800 is a `hidden beast` number, since 3 + 4 + 5 + 26 + 580 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 820108590 + ... + 820109010.

Almost surely, 2^345265804800 is an apocalyptic number.

345265804800 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 345265804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738414117936).

345265804800 is an abundant number, since it is smaller than the sum of its proper divisors (1131562431072).

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

345265804800 is a wasteful number, since it uses less digits than its factorization.

345265804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 345265804800 in words is "three hundred forty-five billion, two hundred sixty-five million, eight hundred four thousand, eight hundred".