34020 has 72 divisors (see below), whose sum is σ = 122304. Its totient is φ = 7776.

The previous prime is 34019. The next prime is 34031. The reversal of 34020 is 2043.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 33993 and 34011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4857 + ... + 4863.

2³⁴⁰²⁰ is an apocalyptic number.

34020 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 34020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

34020 is an abundant number, since it is smaller than the sum of its proper divisors (88284).

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

34020 is a wasteful number, since it uses less digits than its factorization.

34020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 34020 is about 184.4451137873. The cubic root of 34020 is about 32.4024689477.

Adding to 34020 its reverse (2043), we get a palindrome (36063).

The spelling of 34020 in words is "thirty-four thousand, twenty".