345941760 has 72 divisors (see below), whose sum is σ = 1104863760. Its totient is φ = 92250112.

The previous prime is 345941753. The next prime is 345941767. The reversal of 345941760 is 67149543.

It is an interprime number because it is at equal distance from previous prime (345941753) and next prime (345941767).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345941767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41205 + ... + 48884.

It is an arithmetic number, because the mean of its divisors is an integer number (15345330).

Almost surely, 2^345941760 is an apocalyptic number.

345941760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345941760 is an abundant number, since it is smaller than the sum of its proper divisors (758922000).

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

345941760 is an equidigital number, since it uses as much as digits as its factorization.

345941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90113 (or 90099 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 345941760 is about 18599.5096709564. The cubic root of 345941760 is about 701.9955032544.

The spelling of 345941760 in words is "three hundred forty-five million, nine hundred forty-one thousand, seven hundred sixty".