346000920720 has 1280 divisors, whose sum is σ = 1410843033600. Its totient is φ = 69645090816.

The previous prime is 346000920709. The next prime is 346000920743. The reversal of 346000920720 is 27029000643.

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 255 ways as a sum of consecutive naturals, for example, 3359232189 + ... + 3359232291.

It is an arithmetic number, because the mean of its divisors is an integer number (1102221120).

Almost surely, 2^346000920720 is an apocalyptic number.

346000920720 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 346000920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705421516800).

346000920720 is an abundant number, since it is smaller than the sum of its proper divisors (1064842112880).

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

346000920720 is a wasteful number, since it uses less digits than its factorization.

346000920720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 346000920720 in words is "three hundred forty-six billion, nine hundred twenty thousand, seven hundred twenty".