34332106401 has 6 divisors (see below), whose sum is σ = 49590820370. Its totient is φ = 22888070928.

The previous prime is 34332106381. The next prime is 34332106423. The reversal of 34332106401 is 10460123343.

34332106401 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 2 + 10 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26614659600 + 7717446801 = 163140^2 + 87849^2 .

It is not a de Polignac number, because 34332106401 - 2⁶ = 34332106337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34332106481) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1907339236 + ... + 1907339253.

Almost surely, 2^34332106401 is an apocalyptic number.

It is an amenable number.

34332106401 is a deficient number, since it is larger than the sum of its proper divisors (15258713969).

34332106401 is a wasteful number, since it uses less digits than its factorization.

34332106401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814678495 (or 3814678492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34332106401 its reverse (10460123343), we get a palindrome (44792229744).

The spelling of 34332106401 in words is "thirty-four billion, three hundred thirty-two million, one hundred six thousand, four hundred one".