345106733872320 has 448 divisors, whose sum is σ = 1425318878592000. Its totient is φ = 76957598638080.

The previous prime is 345106733872267. The next prime is 345106733872337. The reversal of 345106733872320 is 23278337601543.

345106733872320 is a `hidden beast` number, since 3 + 4 + 5 + 10 + 67 + 338 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 67107270 + ... + 72066629.

It is an arithmetic number, because the mean of its divisors is an integer number (3181515354000).

Almost surely, 2^{345106733872320} is an apocalyptic number.

345106733872320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345106733872320 is an abundant number, since it is smaller than the sum of its proper divisors (1080212144719680).

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

345106733872320 is a wasteful number, since it uses less digits than its factorization.

345106733872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139173973 (or 139173957 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 345106733872320 in words is "three hundred forty-five trillion, one hundred six billion, seven hundred thirty-three million, eight hundred seventy-two thousand, three hundred twenty".