34000440 has 128 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 8515584.

The previous prime is 34000399. The next prime is 34000453. The reversal of 34000440 is 4400043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267657 + ... + 267783.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^34000440 is an apocalyptic number.

34000440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

34000440 is an abundant number, since it is smaller than the sum of its proper divisors (74379720).

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

34000440 is a wasteful number, since it uses less digits than its factorization.

34000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34000440 is about 5830.9896244120. The cubic root of 34000440 is about 323.9625776013.

Adding to 34000440 its reverse (4400043), we get a palindrome (38400483).

The spelling of 34000440 in words is "thirty-four million, four hundred forty", and thus it is an aban number.