34854864 has 80 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 10480000.

The previous prime is 34854863. The next prime is 34854887. The reversal of 34854864 is 46845843.

34854864 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 (34854863) 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 15 ways as a sum of consecutive naturals, for example, 132397 + ... + 132659.

Almost surely, 2^34854864 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 34854864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

34854864 is an abundant number, since it is smaller than the sum of its proper divisors (64138800).

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

34854864 is a wasteful number, since it uses less digits than its factorization.

34854864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 34854864 is about 5903.8008096480. The cubic root of 34854864 is about 326.6538622405.

The spelling of 34854864 in words is "thirty-four million, eight hundred fifty-four thousand, eight hundred sixty-four".