345935374686720 has 1920 divisors, whose sum is σ = 1591724073139200. Its totient is φ = 67407455453184.

The previous prime is 345935374686689. The next prime is 345935374686739. The reversal of 345935374686720 is 27686473539543.

345935374686720 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 3 + 537 + 4 + 6 + 8 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1398335196 + ... + 1398582564.

It is an arithmetic number, because the mean of its divisors is an integer number (829022954760).

Almost surely, 2^{345935374686720} is an apocalyptic number.

345935374686720 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 345935374686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795862036569600).

345935374686720 is an abundant number, since it is smaller than the sum of its proper divisors (1245788698452480).

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

345935374686720 is a wasteful number, since it uses less digits than its factorization.

345935374686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247470 (or 247451 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 72.

The spelling of 345935374686720 in words is "three hundred forty-five trillion, nine hundred thirty-five billion, three hundred seventy-four million, six hundred eighty-six thousand, seven hundred twenty".