346938720 has 288 divisors, whose sum is σ = 1208735136. Its totient is φ = 83558400.

The previous prime is 346938707. The next prime is 346938721. The reversal of 346938720 is 27839643.

346938720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346938721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5687490 + ... + 5687550.

It is an arithmetic number, because the mean of its divisors is an integer number (4196997).

Almost surely, 2^346938720 is an apocalyptic number.

346938720 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 346938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604367568).

346938720 is an abundant number, since it is smaller than the sum of its proper divisors (861796416).

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

346938720 is a wasteful number, since it uses less digits than its factorization.

346938720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 346938720 is about 18626.2910961898. The cubic root of 346938720 is about 702.6692103041.

The spelling of 346938720 in words is "three hundred forty-six million, nine hundred thirty-eight thousand, seven hundred twenty".