345172480 has 80 divisors (see below), whose sum is σ = 835872840. Its totient is φ = 136691712.

The previous prime is 345172469. The next prime is 345172483. The reversal of 345172480 is 84271543.

It can be written as a sum of positive squares in 4 ways, for example, as 327465216 + 17707264 = 18096^2 + 4208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (345172483) 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, 278422 + ... + 279658.

Almost surely, 2^345172480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417936420).

345172480 is an abundant number, since it is smaller than the sum of its proper divisors (490700360).

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

345172480 is a wasteful number, since it uses less digits than its factorization.

345172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 345172480 is about 18578.8180463667. The cubic root of 345172480 is about 701.4747683096.

The spelling of 345172480 in words is "three hundred forty-five million, one hundred seventy-two thousand, four hundred eighty".