34646634004101 has 24 divisors (see below), whose sum is σ = 55471108564224. Its totient is φ = 19159428939840.

The previous prime is 34646634004067. The next prime is 34646634004111. The reversal of 34646634004101 is 10140043664643.

It is a happy number.

It is not a de Polignac number, because 34646634004101 - 2¹⁰ = 34646634003077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34646634004111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3801469440 + ... + 3801478553.

It is an arithmetic number, because the mean of its divisors is an integer number (2311296190176).

Almost surely, 2^{34646634004101} is an apocalyptic number.

34646634004101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34646634004101 is a deficient number, since it is larger than the sum of its proper divisors (20824474560123).

34646634004101 is a wasteful number, since it uses less digits than its factorization.

34646634004101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7602948041 (or 7602948034 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 34646634004101 its reverse (10140043664643), we get a palindrome (44786677668744).

The spelling of 34646634004101 in words is "thirty-four trillion, six hundred forty-six billion, six hundred thirty-four million, four thousand, one hundred one".