34030033220 has 216 divisors, whose sum is σ = 82060304256. Its totient is φ = 11844559872.

The previous prime is 34030033207. The next prime is 34030033229. The reversal of 34030033220 is 2233003043.

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 = 34030033192 and 34030033201.

It is not an unprimeable number, because it can be changed into a prime (34030033229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98069087 + ... + 98069433.

It is an arithmetic number, because the mean of its divisors is an integer number (379908816).

Almost surely, 2^34030033220 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 34030033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41030152128).

34030033220 is an abundant number, since it is smaller than the sum of its proper divisors (48030271036).

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

34030033220 is a wasteful number, since it uses less digits than its factorization.

34030033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 34030033220 its reverse (2233003043), we get a palindrome (36263036263).

The spelling of 34030033220 in words is "thirty-four billion, thirty million, thirty-three thousand, two hundred twenty".