34344864 has 96 divisors (see below), whose sum is σ = 101283840. Its totient is φ = 11321856.

The previous prime is 34344859. The next prime is 34344889. The reversal of 34344864 is 46844343.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 109572 + ... + 109884.

It is an arithmetic number, because the mean of its divisors is an integer number (1055040).

Almost surely, 2^34344864 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 34344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50641920).

34344864 is an abundant number, since it is smaller than the sum of its proper divisors (66938976).

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

34344864 is a wasteful number, since it uses less digits than its factorization.

34344864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 34344864 is about 5860.4491295463. The cubic root of 34344864 is about 325.0528166627.

The spelling of 34344864 in words is "thirty-four million, three hundred forty-four thousand, eight hundred sixty-four".