34162116 has 48 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 10861312.

The previous prime is 34162109. The next prime is 34162123. The reversal of 34162116 is 61126143.

It is an interprime number because it is at equal distance from previous prime (34162109) and next prime (34162123).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30421 + ... + 31523.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^34162116 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 34162116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

34162116 is an abundant number, since it is smaller than the sum of its proper divisors (49300284).

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

34162116 is a wasteful number, since it uses less digits than its factorization.

34162116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 34162116 is about 5844.8366957512. The cubic root of 34162116 is about 324.4752589353.

Adding to 34162116 its reverse (61126143), we get a palindrome (95288259).

The spelling of 34162116 in words is "thirty-four million, one hundred sixty-two thousand, one hundred sixteen".