34051968 has 128 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 11091456.

The previous prime is 34051961. The next prime is 34051973. The reversal of 34051968 is 86915043.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34051961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203821 + ... + 203987.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^34051968 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 34051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

34051968 is an abundant number, since it is smaller than the sum of its proper divisors (68764032).

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

34051968 is a wasteful number, since it uses less digits than its factorization.

34051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34051968 is about 5835.4064125817. The cubic root of 34051968 is about 324.1261511503.

The spelling of 34051968 in words is "thirty-four million, fifty-one thousand, nine hundred sixty-eight".