34038284 has 48 divisors (see below), whose sum is σ = 73801728. Its totient is φ = 13402368.

The previous prime is 34038283. The next prime is 34038289. The reversal of 34038284 is 48283043.

It is a self number, because there is not a number n which added to its sum of digits gives 34038284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34038283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19637 + ... + 21299.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 2^34038284 is an apocalyptic number.

34038284 is a gapful number since it is divisible by the number (34) 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 34038284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36900864).

34038284 is an abundant number, since it is smaller than the sum of its proper divisors (39763444).

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

34038284 is a wasteful number, since it uses less digits than its factorization.

34038284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 34038284 is about 5834.2337971665. The cubic root of 34038284 is about 324.0827279478.

The spelling of 34038284 in words is "thirty-four million, thirty-eight thousand, two hundred eighty-four".