34864280 has 128 divisors (see below), whose sum is σ = 93312000. Its totient is φ = 11581440.

The previous prime is 34864279. The next prime is 34864303. The reversal of 34864280 is 8246843.

34864280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34864280.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 441281 + ... + 441359.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^34864280 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 34864280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656000).

34864280 is an abundant number, since it is smaller than the sum of its proper divisors (58447720).

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

34864280 is a wasteful number, since it uses less digits than its factorization.

34864280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 34864280 is about 5904.5982081764. The cubic root of 34864280 is about 326.6832746427.

The spelling of 34864280 in words is "thirty-four million, eight hundred sixty-four thousand, two hundred eighty".