34113744 has 160 divisors (see below), whose sum is σ = 116064000. Its totient is φ = 9386496.

The previous prime is 34113731. The next prime is 34113757. The reversal of 34113744 is 44731143.

It is an interprime number because it is at equal distance from previous prime (34113731) and next prime (34113757).

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 a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 87502 + ... + 87890.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^34113744 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 34113744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

34113744 is an abundant number, since it is smaller than the sum of its proper divisors (81950256).

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

34113744 is a wasteful number, since it uses less digits than its factorization.

34113744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 34113744 is about 5840.6972186546. The cubic root of 34113744 is about 324.3220392001.

Adding to 34113744 its reverse (44731143), we get a palindrome (78844887).

The spelling of 34113744 in words is "thirty-four million, one hundred thirteen thousand, seven hundred forty-four".