345271680 has 512 divisors, whose sum is σ = 1388016000. Its totient is φ = 80510976.

The previous prime is 345271669. The next prime is 345271711. The reversal of 345271680 is 86172543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6514534 + ... + 6514586.

Almost surely, 2^345271680 is an apocalyptic number.

345271680 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 345271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694008000).

345271680 is an abundant number, since it is smaller than the sum of its proper divisors (1042744320).

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

345271680 is a wasteful number, since it uses less digits than its factorization.

345271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 345271680 is about 18581.4875615490. The cubic root of 345271680 is about 701.5419614145.

The spelling of 345271680 in words is "three hundred forty-five million, two hundred seventy-one thousand, six hundred eighty".