34006126405351 has 8 divisors (see below), whose sum is σ = 34518853123184. Its totient is φ = 33493551822720.

The previous prime is 34006126405313. The next prime is 34006126405421. The reversal of 34006126405351 is 15350462160043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34006126405351 - 2¹¹ = 34006126403303 is a prime.

It is a super-2 number, since 2×34006126405351² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006126405051) 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, 37583340 + ... + 38477521.

It is an arithmetic number, because the mean of its divisors is an integer number (4314856640398).

Almost surely, 2^{34006126405351} is an apocalyptic number.

34006126405351 is a deficient number, since it is larger than the sum of its proper divisors (512726717833).

34006126405351 is an equidigital number, since it uses as much as digits as its factorization.

34006126405351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76067601.

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 34006126405351 its reverse (15350462160043), we get a palindrome (49356588565394).

The spelling of 34006126405351 in words is "thirty-four trillion, six billion, one hundred twenty-six million, four hundred five thousand, three hundred fifty-one".