345903360 has 288 divisors, whose sum is σ = 1271531520. Its totient is φ = 79257600.

The previous prime is 345903353. The next prime is 345903377. The reversal of 345903360 is 63309543.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802345 + ... + 802775.

It is an arithmetic number, because the mean of its divisors is an integer number (4415040).

Almost surely, 2^345903360 is an apocalyptic number.

345903360 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 345903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635765760).

345903360 is an abundant number, since it is smaller than the sum of its proper divisors (925628160).

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

345903360 is a wasteful number, since it uses less digits than its factorization.

345903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 345903360 is about 18598.4773570311. The cubic root of 345903360 is about 701.9695281454.

It can be divided in two parts, 34590 and 3360, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 345903360 in words is "three hundred forty-five million, nine hundred three thousand, three hundred sixty".