34002331100411 has 8 divisors (see below), whose sum is σ = 35551796928000. Its totient is φ = 32458790573352.

The previous prime is 34002331100393. The next prime is 34002331100429. The reversal of 34002331100411 is 11400113320043.

It is an interprime number because it is at equal distance from previous prime (34002331100393) and next prime (34002331100429).

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 34002331100411 - 2¹⁴ = 34002331084027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34002331100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1481313395 + ... + 1481336348.

It is an arithmetic number, because the mean of its divisors is an integer number (4443974616000).

Almost surely, 2^{34002331100411} is an apocalyptic number.

34002331100411 is a deficient number, since it is larger than the sum of its proper divisors (1549465827589).

34002331100411 is a wasteful number, since it uses less digits than its factorization.

34002331100411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962650265.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 34002331100411 its reverse (11400113320043), we get a palindrome (45402444420454).

The spelling of 34002331100411 in words is "thirty-four trillion, two billion, three hundred thirty-one million, one hundred thousand, four hundred eleven".