34114824 has 64 divisors (see below), whose sum is σ = 96993600. Its totient is φ = 11104128.

The previous prime is 34114811. The next prime is 34114831. The reversal of 34114824 is 42841143.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 7452 + ... + 11124.

It is an arithmetic number, because the mean of its divisors is an integer number (1515525).

Almost surely, 2^34114824 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 34114824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48496800).

34114824 is an abundant number, since it is smaller than the sum of its proper divisors (62878776).

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

34114824 is a wasteful number, since it uses less digits than its factorization.

34114824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3721 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34114824 is about 5840.7896726385. The cubic root of 34114824 is about 324.3254617122.

Adding to 34114824 its reverse (42841143), we get a palindrome (76955967).

The spelling of 34114824 in words is "thirty-four million, one hundred fourteen thousand, eight hundred twenty-four".