34128864 has 336 divisors, whose sum is σ = 132209280. Its totient is φ = 8398080.

The previous prime is 34128863. The next prime is 34128889. The reversal of 34128864 is 46882143.

It is a tau number, because it is divible by the number of its divisors (336).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34128863) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1796247 + ... + 1796265.

It is an arithmetic number, because the mean of its divisors is an integer number (393480).

Almost surely, 2^34128864 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 34128864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66104640).

34128864 is an abundant number, since it is smaller than the sum of its proper divisors (98080416).

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

34128864 is a wasteful number, since it uses less digits than its factorization.

34128864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34128864 is about 5841.9914412810. The cubic root of 34128864 is about 324.3699477980.

The spelling of 34128864 in words is "thirty-four million, one hundred twenty-eight thousand, eight hundred sixty-four".