34334334344401 has 8 divisors (see below), whose sum is σ = 42257642270144. Its totient is φ = 27165627173520.

The previous prime is 34334334344399. The next prime is 34334334344419. The reversal of 34334334344401 is 10444343343343.

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 34334334344401 - 2¹ = 34334334344399 is a prime.

It is a super-3 number, since 3×34334334344401³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34334334344461) 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, 188650188615 + ... + 188650188796.

It is an arithmetic number, because the mean of its divisors is an integer number (5282205283768).

Almost surely, 2^{34334334344401} is an apocalyptic number.

It is an amenable number.

34334334344401 is a deficient number, since it is larger than the sum of its proper divisors (7923307925743).

34334334344401 is a wasteful number, since it uses less digits than its factorization.

34334334344401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377300377431.

The product of its (nonzero) digits is 2985984, while the sum is 43.

Adding to 34334334344401 its reverse (10444343343343), we get a palindrome (44778677687744).

The spelling of 34334334344401 in words is "thirty-four trillion, three hundred thirty-four billion, three hundred thirty-four million, three hundred forty-four thousand, four hundred one".