346761216 has 96 divisors (see below), whose sum is σ = 1027353600. Its totient is φ = 115568640.

The previous prime is 346761211. The next prime is 346761221. The reversal of 346761216 is 612167643.

It is a happy number.

346761216 is a `hidden beast` number, since 34 + 6 + 7 + 612 + 1 + 6 = 666.

346761216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (346761211) and next prime (346761221).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (346761211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52161 + ... + 58431.

It is an arithmetic number, because the mean of its divisors is an integer number (10701600).

Almost surely, 2^346761216 is an apocalyptic number.

346761216 is a gapful number since it is divisible by the number (36) 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 346761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513676800).

346761216 is an abundant number, since it is smaller than the sum of its proper divisors (680592384).

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

346761216 is an equidigital number, since it uses as much as digits as its factorization.

346761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6276 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 346761216 is about 18621.5256088216. The cubic root of 346761216 is about 702.5493544856.

The spelling of 346761216 in words is "three hundred forty-six million, seven hundred sixty-one thousand, two hundred sixteen".