34000224221040 has 480 divisors, whose sum is σ = 133784817509376. Its totient is φ = 7063419525120.

The previous prime is 34000224221011. The next prime is 34000224221057. The reversal of 34000224221040 is 4012242200043.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34000224221040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639399894 + ... + 639453066.

Almost surely, 2^{34000224221040} is an apocalyptic number.

34000224221040 is a gapful number since it is divisible by the number (30) 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 34000224221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66892408754688).

34000224221040 is an abundant number, since it is smaller than the sum of its proper divisors (99784593288336).

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

34000224221040 is a wasteful number, since it uses less digits than its factorization.

34000224221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58157 (or 58144 counting only the distinct ones).

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

Adding to 34000224221040 its reverse (4012242200043), we get a palindrome (38012466421083).

The spelling of 34000224221040 in words is "thirty-four trillion, two hundred twenty-four million, two hundred twenty-one thousand, forty".