345185280 has 352 divisors, whose sum is σ = 1344142080. Its totient is φ = 83312640.

The previous prime is 345185257. The next prime is 345185287. The reversal of 345185280 is 82581543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345185287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520527 + ... + 1520753.

Almost surely, 2^345185280 is an apocalyptic number.

345185280 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 345185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672071040).

345185280 is an abundant number, since it is smaller than the sum of its proper divisors (998956800).

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

345185280 is a wasteful number, since it uses less digits than its factorization.

345185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 345185280 is about 18579.1625214917. The cubic root of 345185280 is about 701.4834391110.

The spelling of 345185280 in words is "three hundred forty-five million, one hundred eighty-five thousand, two hundred eighty".