34020220240 has 80 divisors (see below), whose sum is σ = 80058032208. Its totient is φ = 13443268608.

The previous prime is 34020220237. The next prime is 34020220243. The reversal of 34020220240 is 4202202043.

It is an interprime number because it is at equal distance from previous prime (34020220237) and next prime (34020220243).

It can be written as a sum of positive squares in 8 ways, for example, as 1680672016 + 32339548224 = 40996^2 + 179832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020220243) 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, 4597984 + ... + 4605376.

Almost surely, 2^34020220240 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 34020220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40029016104).

34020220240 is an abundant number, since it is smaller than the sum of its proper divisors (46037811968).

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

34020220240 is a wasteful number, since it uses less digits than its factorization.

34020220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 34020220240 its reverse (4202202043), we get a palindrome (38222422283).

The spelling of 34020220240 in words is "thirty-four billion, twenty million, two hundred twenty thousand, two hundred forty".