34024420012024 has 64 divisors (see below), whose sum is σ = 69349650985440. Its totient is φ = 15556412551680.

The previous prime is 34024420012003. The next prime is 34024420012027. The reversal of 34024420012024 is 42021002442043.

It is a super-2 number, since 2×34024420012024² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34024420011983 and 34024420012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024420012027) 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, 2256822 + ... + 8552314.

Almost surely, 2^{34024420012024} 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 34024420012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34674825492720).

34024420012024 is an abundant number, since it is smaller than the sum of its proper divisors (35325230973416).

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

34024420012024 is a wasteful number, since it uses less digits than its factorization.

34024420012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296000 (or 6295996 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34024420012024 its reverse (42021002442043), we get a palindrome (76045422454067).

The spelling of 34024420012024 in words is "thirty-four trillion, twenty-four billion, four hundred twenty million, twelve thousand, twenty-four".