346782080 has 64 divisors (see below), whose sum is σ = 832038480. Its totient is φ = 138209280.

The previous prime is 346782067. The next prime is 346782103. The reversal of 346782080 is 80287643.

346782080 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 (64).

It is a super-2 number, since 2×346782080² = 240515622018252800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 211022 + ... + 212658.

Almost surely, 2^346782080 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 346782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416019240).

346782080 is an abundant number, since it is smaller than the sum of its proper divisors (485256400).

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

346782080 is a wasteful number, since it uses less digits than its factorization.

346782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 346782080 is about 18622.0858122821. The cubic root of 346782080 is about 702.5634445809.

The spelling of 346782080 in words is "three hundred forty-six million, seven hundred eighty-two thousand, eighty".