34003434223143 has 768 divisors, whose sum is σ = 70888753152000. Its totient is φ = 15870281011200.

The previous prime is 34003434223141. The next prime is 34003434223147. The reversal of 34003434223143 is 34132243430043.

34003434223143 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 343 + 42 + 231 + 43 = 666.

It is not a de Polignac number, because 34003434223143 - 2¹ = 34003434223141 is a prime.

It is a super-2 number, since 2×34003434223143² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34003434223098 and 34003434223107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003434223141) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 67601260630 + ... + 67601261132.

It is an arithmetic number, because the mean of its divisors is an integer number (92303064000).

Almost surely, 2^{34003434223143} is an apocalyptic number.

34003434223143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34003434223143 is an abundant number, since it is smaller than the sum of its proper divisors (36885318928857).

34003434223143 is a wasteful number, since it uses less digits than its factorization.

34003434223143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34003434223143 its reverse (34132243430043), we get a palindrome (68135677653186).

The spelling of 34003434223143 in words is "thirty-four trillion, three billion, four hundred thirty-four million, two hundred twenty-three thousand, one hundred forty-three".