34038414 has 48 divisors (see below), whose sum is σ = 77369040. Its totient is φ = 11091600.

The previous prime is 34038401. The next prime is 34038419. The reversal of 34038414 is 41483043.

It is a super-2 number, since 2×34038414² = 2317227255270792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34038419) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 336964 + ... + 337064.

It is an arithmetic number, because the mean of its divisors is an integer number (1611855).

Almost surely, 2^34038414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34038414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38684520).

34038414 is an abundant number, since it is smaller than the sum of its proper divisors (43330626).

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

34038414 is a wasteful number, since it uses less digits than its factorization.

34038414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34038414 is about 5834.2449382932. The cubic root of 34038414 is about 324.0831405293.

The spelling of 34038414 in words is "thirty-four million, thirty-eight thousand, four hundred fourteen".