34002040 has 64 divisors (see below), whose sum is σ = 83669760. Its totient is φ = 12380160.

The previous prime is 34001999. The next prime is 34002047. The reversal of 34002040 is 4020043.

It is a super-2 number, since 2×34002040² = 2312277448323200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34002040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002047) 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 15 ways as a sum of consecutive naturals, for example, 20274 + ... + 21886.

It is an arithmetic number, because the mean of its divisors is an integer number (1307340).

Almost surely, 2^34002040 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 34002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41834880).

34002040 is an abundant number, since it is smaller than the sum of its proper divisors (49667720).

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

34002040 is a wasteful number, since it uses less digits than its factorization.

34002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34002040 is about 5831.1268207783. The cubic root of 34002040 is about 323.9676592218.

Adding to 34002040 its reverse (4020043), we get a palindrome (38022083).

The spelling of 34002040 in words is "thirty-four million, two thousand, forty", and thus it is an eban number.