346872480 has 96 divisors (see below), whose sum is σ = 1130371200. Its totient is φ = 89306112.

The previous prime is 346872479. The next prime is 346872511. The reversal of 346872480 is 84278643.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461 + ... + 26379.

It is an arithmetic number, because the mean of its divisors is an integer number (11774700).

Almost surely, 2^346872480 is an apocalyptic number.

346872480 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 346872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565185600).

346872480 is an abundant number, since it is smaller than the sum of its proper divisors (783498720).

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

346872480 is a wasteful number, since it uses less digits than its factorization.

346872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24966 (or 24958 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 346872480 is about 18624.5128795359. The cubic root of 346872480 is about 702.6244879287.

The spelling of 346872480 in words is "three hundred forty-six million, eight hundred seventy-two thousand, four hundred eighty".