345872310 has 192 divisors, whose sum is σ = 1039772160. Its totient is φ = 72069120.

The previous prime is 345872297. The next prime is 345872323. The reversal of 345872310 is 13278543.

345872310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345872297) and next prime (345872323).

It is a super-2 number, since 2×345872310² = 239255309649472200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2488221 + ... + 2488359.

It is an arithmetic number, because the mean of its divisors is an integer number (5415480).

Almost surely, 2^345872310 is an apocalyptic number.

345872310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345872310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519886080).

345872310 is an abundant number, since it is smaller than the sum of its proper divisors (693899850).

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

345872310 is a wasteful number, since it uses less digits than its factorization.

345872310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 345872310 is about 18597.6425925438. The cubic root of 345872310 is about 701.9485234289.

The spelling of 345872310 in words is "three hundred forty-five million, eight hundred seventy-two thousand, three hundred ten".