34864688 has 40 divisors (see below), whose sum is σ = 74647008. Its totient is φ = 15690752.

The previous prime is 34864679. The next prime is 34864717. The reversal of 34864688 is 88646843.

34864688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3470 + ... + 9042.

Almost surely, 2^34864688 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 34864688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37323504).

34864688 is an abundant number, since it is smaller than the sum of its proper divisors (39782320).

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

34864688 is a wasteful number, since it uses less digits than its factorization.

34864688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5615 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 34864688 is about 5904.6327574202. The cubic root of 34864688 is about 326.6845489771.

It can be divided in two parts, 34 and 864688, that multiplied together give a palindrome (29399392).

The spelling of 34864688 in words is "thirty-four million, eight hundred sixty-four thousand, six hundred eighty-eight".