34138368 has 144 divisors (see below), whose sum is σ = 110376000. Its totient is φ = 10321920.

The previous prime is 34138361. The next prime is 34138381. The reversal of 34138368 is 86383143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 not an unprimeable number, because it can be changed into a prime (34138361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75808 + ... + 76256.

It is an arithmetic number, because the mean of its divisors is an integer number (766500).

Almost surely, 2^34138368 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 34138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55188000).

34138368 is an abundant number, since it is smaller than the sum of its proper divisors (76237632).

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

34138368 is a wasteful number, since it uses less digits than its factorization.

34138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 465 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34138368 is about 5842.8048059130. The cubic root of 34138368 is about 324.4000545317.

It can be divided in two parts, 3413 and 8368, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 34138368 in words is "thirty-four million, one hundred thirty-eight thousand, three hundred sixty-eight".