34820968 has 48 divisors (see below), whose sum is σ = 81802980. Its totient is φ = 13773312.

The previous prime is 34820957. The next prime is 34820969. The reversal of 34820968 is 86902843.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 5466244 = 5418^2 + 2338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34820968.

It is not an unprimeable number, because it can be changed into a prime (34820969) 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 11 ways as a sum of consecutive naturals, for example, 1680 + ... + 8512.

Almost surely, 2^34820968 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 34820968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40901490).

34820968 is an abundant number, since it is smaller than the sum of its proper divisors (46982012).

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

34820968 is a wasteful number, since it uses less digits than its factorization.

34820968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 34820968 is about 5900.9294183205. The cubic root of 34820968 is about 326.5479387126.

It can be divided in two parts, 348 and 20968, that added together give a square (21316 = 146²).

The spelling of 34820968 in words is "thirty-four million, eight hundred twenty thousand, nine hundred sixty-eight".