34666464 has 96 divisors (see below), whose sum is σ = 105477120. Its totient is φ = 9764352.

The previous prime is 34666441. The next prime is 34666477. The reversal of 34666464 is 46466643.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52762 + ... + 53414.

It is an arithmetic number, because the mean of its divisors is an integer number (1098720).

Almost surely, 2^34666464 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 34666464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52738560).

34666464 is an abundant number, since it is smaller than the sum of its proper divisors (70810656).

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

34666464 is a wasteful number, since it uses less digits than its factorization.

34666464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 34666464 is about 5887.8233669158. The cubic root of 34666464 is about 326.0642476909.

The spelling of 34666464 in words is "thirty-four million, six hundred sixty-six thousand, four hundred sixty-four".