346114120 has 96 divisors (see below), whose sum is σ = 888693120. Its totient is φ = 120306560.

The previous prime is 346114117. The next prime is 346114123. The reversal of 346114120 is 21411643.

346114120 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 (346114117) and next prime (346114123).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 346114091 and 346114100.

It is not an unprimeable number, because it can be changed into a prime (346114123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232017 + ... + 233503.

It is an arithmetic number, because the mean of its divisors is an integer number (9257220).

Almost surely, 2^346114120 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 346114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444346560).

346114120 is an abundant number, since it is smaller than the sum of its proper divisors (542579000).

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

346114120 is a wasteful number, since it uses less digits than its factorization.

346114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 346114120 is about 18604.1425494431. The cubic root of 346114120 is about 702.1120699426.

Adding to 346114120 its reverse (21411643), we get a palindrome (367525763).

The spelling of 346114120 in words is "three hundred forty-six million, one hundred fourteen thousand, one hundred twenty".