345137280 has 128 divisors (see below), whose sum is σ = 1158148800. Its totient is φ = 87183360.

The previous prime is 345137279. The next prime is 345137293. The reversal of 345137280 is 82731543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×345137280³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31750 + ... + 41210.

Almost surely, 2^345137280 is an apocalyptic number.

345137280 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 345137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579074400).

345137280 is an abundant number, since it is smaller than the sum of its proper divisors (813011520).

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

345137280 is a wasteful number, since it uses less digits than its factorization.

345137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 9490 counting only the distinct ones).

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

The square root of 345137280 is about 18577.8707068383. The cubic root of 345137280 is about 701.4509225005.

The spelling of 345137280 in words is "three hundred forty-five million, one hundred thirty-seven thousand, two hundred eighty".