345132480 has 672 divisors, whose sum is σ = 1501079040. Its totient is φ = 66232320.

The previous prime is 345132479. The next prime is 345132497. The reversal of 345132480 is 84231543.

345132480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×345132480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11901106 + ... + 11901134.

Almost surely, 2^345132480 is an apocalyptic number.

345132480 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 345132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750539520).

345132480 is an abundant number, since it is smaller than the sum of its proper divisors (1155946560).

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

345132480 is a wasteful number, since it uses less digits than its factorization.

345132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 345132480 is about 18577.7415204325. The cubic root of 345132480 is about 701.4476706736.

The spelling of 345132480 in words is "three hundred forty-five million, one hundred thirty-two thousand, four hundred eighty".