346672116 has 96 divisors (see below), whose sum is σ = 1034880000. Its totient is φ = 98306784.

The previous prime is 346672091. The next prime is 346672133. The reversal of 346672116 is 611276643.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103435 + ... + 106733.

It is an arithmetic number, because the mean of its divisors is an integer number (10780000).

Almost surely, 2^346672116 is an apocalyptic number.

346672116 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 346672116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440000).

346672116 is an abundant number, since it is smaller than the sum of its proper divisors (688207884).

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

346672116 is a wasteful number, since it uses less digits than its factorization.

346672116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3450 counting only the distinct ones).

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

The square root of 346672116 is about 18619.1330625247. The cubic root of 346672116 is about 702.4891761777.

The spelling of 346672116 in words is "three hundred forty-six million, six hundred seventy-two thousand, one hundred sixteen".