34005020 has 48 divisors (see below), whose sum is σ = 83294400. Its totient is φ = 11656512.

The previous prime is 34005019. The next prime is 34005029. The reversal of 34005020 is 2050043.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 34004986 and 34005004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4382 + ... + 9338.

It is an arithmetic number, because the mean of its divisors is an integer number (1735300).

Almost surely, 2^34005020 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 34005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41647200).

34005020 is an abundant number, since it is smaller than the sum of its proper divisors (49289380).

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

34005020 is a wasteful number, since it uses less digits than its factorization.

34005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 34005020 is about 5831.3823404061. The cubic root of 34005020 is about 323.9771233149.

Adding to 34005020 its reverse (2050043), we get a palindrome (36055063).

The spelling of 34005020 in words is "thirty-four million, five thousand, twenty".