34780968 has 64 divisors (see below), whose sum is σ = 100828800. Its totient is φ = 11088000.

The previous prime is 34780939. The next prime is 34780969. The reversal of 34780968 is 86908743.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34780969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468 + ... + 8468.

It is an arithmetic number, because the mean of its divisors is an integer number (1575450).

Almost surely, 2^34780968 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 34780968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50414400).

34780968 is an abundant number, since it is smaller than the sum of its proper divisors (66047832).

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

34780968 is a wasteful number, since it uses less digits than its factorization.

34780968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 34780968 is about 5897.5391478141. The cubic root of 34780968 is about 326.4228519900.

The spelling of 34780968 in words is "thirty-four million, seven hundred eighty thousand, nine hundred sixty-eight".