34961112 has 64 divisors (see below), whose sum is σ = 102837600. Its totient is φ = 10967040.

The previous prime is 34961111. The next prime is 34961119. The reversal of 34961112 is 21116943.

34961112 is a `hidden beast` number, since 3 + 49 + 611 + 1 + 2 = 666.

34961112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (34961111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089 + ... + 8432.

Almost surely, 2^34961112 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 34961112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51418800).

34961112 is an abundant number, since it is smaller than the sum of its proper divisors (67876488).

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

34961112 is a wasteful number, since it uses less digits than its factorization.

34961112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9543 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 34961112 is about 5912.7922337928. The cubic root of 34961112 is about 326.9854382877.

The spelling of 34961112 in words is "thirty-four million, nine hundred sixty-one thousand, one hundred twelve".