34012044024 has 128 divisors (see below), whose sum is σ = 105286832640. Its totient is φ = 8933363712.

The previous prime is 34012044023. The next prime is 34012044089. The reversal of 34012044024 is 42044021043.

It is a happy number.

It is a super-2 number, since 2×34012044024² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34012043985 and 34012044003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012044023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15669 + ... + 261284.

It is an arithmetic number, because the mean of its divisors is an integer number (822553380).

Almost surely, 2^34012044024 is an apocalyptic number.

34012044024 is a gapful number since it is divisible by the number (34) 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 34012044024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52643416320).

34012044024 is an abundant number, since it is smaller than the sum of its proper divisors (71274788616).

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

34012044024 is a wasteful number, since it uses less digits than its factorization.

34012044024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277029 (or 277025 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34012044024 its reverse (42044021043), we get a palindrome (76056065067).

The spelling of 34012044024 in words is "thirty-four billion, twelve million, forty-four thousand, twenty-four".