34126464 has 64 divisors (see below), whose sum is σ = 91334880. Its totient is φ = 11289600.

The previous prime is 34126441. The next prime is 34126471. The reversal of 34126464 is 46462143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69259 + ... + 69749.

Almost surely, 2^34126464 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 34126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45667440).

34126464 is an abundant number, since it is smaller than the sum of its proper divisors (57208416).

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

34126464 is a wasteful number, since it uses less digits than its factorization.

34126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 677 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 34126464 is about 5841.7860282622. The cubic root of 34126464 is about 324.3623442035.

The spelling of 34126464 in words is "thirty-four million, one hundred twenty-six thousand, four hundred sixty-four".