34036020 has 72 divisors (see below), whose sum is σ = 103934376. Its totient is φ = 9015552.

The previous prime is 34036007. The next prime is 34036033. The reversal of 34036020 is 2063043.

It is an interprime number because it is at equal distance from previous prime (34036007) and next prime (34036033).

It can be written as a sum of positive squares in 4 ways, for example, as 20684304 + 13351716 = 4548^2 + 3654^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34035984 and 34036002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30594 + ... + 31686.

It is an arithmetic number, because the mean of its divisors is an integer number (1443533).

Almost surely, 2^34036020 is an apocalyptic number.

34036020 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 34036020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51967188).

34036020 is an abundant number, since it is smaller than the sum of its proper divisors (69898356).

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

34036020 is a wasteful number, since it uses less digits than its factorization.

34036020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34036020 is about 5834.0397667483. The cubic root of 34036020 is about 324.0755425135.

Adding to 34036020 its reverse (2063043), we get a palindrome (36099063).

The spelling of 34036020 in words is "thirty-four million, thirty-six thousand, twenty".