34004041220 has 48 divisors (see below), whose sum is σ = 75375350400. Its totient is φ = 12885689952.

The previous prime is 34004041213. The next prime is 34004041243. The reversal of 34004041220 is 2214040043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34004041192 and 34004041201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13241 + ... + 261119.

It is an arithmetic number, because the mean of its divisors is an integer number (1570319800).

Almost surely, 2^34004041220 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 34004041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37687675200).

34004041220 is an abundant number, since it is smaller than the sum of its proper divisors (41371309180).

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

34004041220 is a wasteful number, since it uses less digits than its factorization.

34004041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247945 (or 247905 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34004041220 its reverse (2214040043), we get a palindrome (36218081263).

The spelling of 34004041220 in words is "thirty-four billion, four million, forty-one thousand, two hundred twenty".