334106688 has 56 divisors (see below), whose sum is σ = 896477760. Its totient is φ = 109795840.

The previous prime is 334106683. The next prime is 334106693. The reversal of 334106688 is 886601433.

334106688 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 (334106683) and next prime (334106693).

It is a super-2 number, since 2×334106688² = 223254557932658688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334106683) 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, 1378 + ... + 25886.

Almost surely, 2^334106688 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 334106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448238880).

334106688 is an abundant number, since it is smaller than the sum of its proper divisors (562371072).

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

334106688 is a wasteful number, since it uses less digits than its factorization.

334106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24595 (or 24585 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 334106688 is about 18278.5855032604. The cubic root of 334106688 is about 693.8970743778.

The spelling of 334106688 in words is "three hundred thirty-four million, one hundred six thousand, six hundred eighty-eight".