34987968 has 168 divisors, whose sum is σ = 110947200. Its totient is φ = 10492416.

The previous prime is 34987961. The next prime is 34987969. The reversal of 34987968 is 86978943.

34987968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34987961) 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 23 ways as a sum of consecutive naturals, for example, 251643 + ... + 251781.

It is an arithmetic number, because the mean of its divisors is an integer number (660400).

Almost surely, 2^34987968 is an apocalyptic number.

34987968 is a gapful number since it is divisible by the number (38) 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 34987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55473600).

34987968 is an abundant number, since it is smaller than the sum of its proper divisors (75959232).

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

34987968 is a wasteful number, since it uses less digits than its factorization.

34987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 34987968 is about 5915.0628060909. The cubic root of 34987968 is about 327.0691434182.

The spelling of 34987968 in words is "thirty-four million, nine hundred eighty-seven thousand, nine hundred sixty-eight".