34013012224 has 72 divisors (see below), whose sum is σ = 70388835552. Its totient is φ = 16391393280.

The previous prime is 34013012221. The next prime is 34013012227. The reversal of 34013012224 is 42221031043.

It is an interprime number because it is at equal distance from previous prime (34013012221) and next prime (34013012227).

It is a junction number, because it is equal to n+sod(n) for n = 34013012195 and 34013012204.

It is not an unprimeable number, because it can be changed into a prime (34013012221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851647 + ... + 890689.

It is an arithmetic number, because the mean of its divisors is an integer number (977622716).

Almost surely, 2^34013012224 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 34013012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35194417776).

34013012224 is an abundant number, since it is smaller than the sum of its proper divisors (36375823328).

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

34013012224 is an equidigital number, since it uses as much as digits as its factorization.

34013012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39183 (or 39169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34013012224 its reverse (42221031043), we get a palindrome (76234043267).

The spelling of 34013012224 in words is "thirty-four billion, thirteen million, twelve thousand, two hundred twenty-four".