34012020 has 96 divisors (see below), whose sum is σ = 111218688. Its totient is φ = 7604352.

The previous prime is 34012007. The next prime is 34012021. The reversal of 34012020 is 2021043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 34011987 and 34012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18879 + ... + 20601.

It is an arithmetic number, because the mean of its divisors is an integer number (1158528).

Almost surely, 2^34012020 is an apocalyptic number.

34012020 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 34012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55609344).

34012020 is an abundant number, since it is smaller than the sum of its proper divisors (77206668).

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

34012020 is a wasteful number, since it uses less digits than its factorization.

34012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34012020 is about 5831.9825102618. The cubic root of 34012020 is about 323.9993522316. Note that the first 3 decimals are identical.

Adding to 34012020 its reverse (2021043), we get a palindrome (36033063).

The spelling of 34012020 in words is "thirty-four million, twelve thousand, twenty".