345325268736 has 864 divisors, whose sum is σ = 1264997260800. Its totient is φ = 92386344960.

The previous prime is 345325268713. The next prime is 345325268773. The reversal of 345325268736 is 637862523543.

345325268736 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 2 + 526 + 87 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 662812156 + ... + 662812676.

It is an arithmetic number, because the mean of its divisors is an integer number (1464117200).

Almost surely, 2^345325268736 is an apocalyptic number.

345325268736 is a gapful number since it is divisible by the number (36) 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 345325268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632498630400).

345325268736 is an abundant number, since it is smaller than the sum of its proper divisors (919671992064).

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

345325268736 is a wasteful number, since it uses less digits than its factorization.

345325268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 655 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 345325268736 in words is "three hundred forty-five billion, three hundred twenty-five million, two hundred sixty-eight thousand, seven hundred thirty-six".