34001020 has 24 divisors (see below), whose sum is σ = 75603024. Its totient is φ = 12800256.

The previous prime is 34000999. The next prime is 34001029. The reversal of 34001020 is 2010043.

It is a super-2 number, since 2×34001020² = 2312138722080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

34001020 is a modest number, since divided by 1020 gives 340 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 34000988 and 34001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001029) 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 7 ways as a sum of consecutive naturals, for example, 49662 + ... + 50341.

It is an arithmetic number, because the mean of its divisors is an integer number (3150126).

Almost surely, 2^34001020 is an apocalyptic number.

It is an amenable number.

34001020 is an abundant number, since it is smaller than the sum of its proper divisors (41602004).

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

34001020 is a wasteful number, since it uses less digits than its factorization.

34001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100029 (or 100027 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34001020 is about 5831.0393584678. The cubic root of 34001020 is about 323.9644197072.

Adding to 34001020 its reverse (2010043), we get a palindrome (36011063).

The spelling of 34001020 in words is "thirty-four million, one thousand, twenty".