34002121424431 has 8 divisors (see below), whose sum is σ = 34154879962320. Its totient is φ = 33849421234752.

The previous prime is 34002121424399. The next prime is 34002121424483. The reversal of 34002121424431 is 13442412120043.

It is a happy number.

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 34002121424431 - 2⁵ = 34002121424399 is a prime.

It is a super-2 number, since 2×34002121424431² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34002121424393 and 34002121424402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002121424731) 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, 13418736 + ... + 15750133.

It is an arithmetic number, because the mean of its divisors is an integer number (4269359995290).

Almost surely, 2^{34002121424431} is an apocalyptic number.

34002121424431 is a deficient number, since it is larger than the sum of its proper divisors (152758537889).

34002121424431 is a wasteful number, since it uses less digits than its factorization.

34002121424431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29174105.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 34002121424431 its reverse (13442412120043), we get a palindrome (47444533544474).

The spelling of 34002121424431 in words is "thirty-four trillion, two billion, one hundred twenty-one million, four hundred twenty-four thousand, four hundred thirty-one".