34121340 has 144 divisors (see below), whose sum is σ = 118984320. Its totient is φ = 7827840.

The previous prime is 34121323. The next prime is 34121341. The reversal of 34121340 is 4312143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121341) 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 47 ways as a sum of consecutive naturals, for example, 37167 + ... + 38073.

It is an arithmetic number, because the mean of its divisors is an integer number (826280).

Almost surely, 2^34121340 is an apocalyptic number.

34121340 is a gapful number since it is divisible by the number (30) 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 34121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59492160).

34121340 is an abundant number, since it is smaller than the sum of its proper divisors (84862980).

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

34121340 is a wasteful number, since it uses less digits than its factorization.

34121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34121340 is about 5841.3474472933. The cubic root of 34121340 is about 324.3461093362.

Adding to 34121340 its reverse (4312143), we get a palindrome (38433483).

The spelling of 34121340 in words is "thirty-four million, one hundred twenty-one thousand, three hundred forty".