345245760 has 224 divisors, whose sum is σ = 1258214400. Its totient is φ = 89026560.

The previous prime is 345245759. The next prime is 345245773. The reversal of 345245760 is 67542543.

345245760 is a `hidden beast` number, since 34 + 52 + 4 + 576 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267196 + ... + 268484.

Almost surely, 2^345245760 is an apocalyptic number.

345245760 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 345245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629107200).

345245760 is an abundant number, since it is smaller than the sum of its proper divisors (912968640).

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

345245760 is a wasteful number, since it uses less digits than its factorization.

345245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 345245760 is about 18580.7900800800. The cubic root of 345245760 is about 701.5244057486.

The spelling of 345245760 in words is "three hundred forty-five million, two hundred forty-five thousand, seven hundred sixty".