346116372 has 96 divisors (see below), whose sum is σ = 948648960. Its totient is φ = 96180480.

The previous prime is 346116367. The next prime is 346116373. The reversal of 346116372 is 273611643.

346116372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346116373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500547 + ... + 501237.

It is an arithmetic number, because the mean of its divisors is an integer number (9881760).

Almost surely, 2^346116372 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 346116372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474324480).

346116372 is an abundant number, since it is smaller than the sum of its proper divisors (602532588).

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

346116372 is a wasteful number, since it uses less digits than its factorization.

346116372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

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

The square root of 346116372 is about 18604.2030734993. The cubic root of 346116372 is about 702.1135927091.

The spelling of 346116372 in words is "three hundred forty-six million, one hundred sixteen thousand, three hundred seventy-two".