34402400401 has 8 divisors (see below), whose sum is σ = 35613328320. Its totient is φ = 33193115088.

The previous prime is 34402400377. The next prime is 34402400411. The reversal of 34402400401 is 10400420443.

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 34402400401 - 2¹⁷ = 34402269329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34402400411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 367951 + ... + 451876.

It is an arithmetic number, because the mean of its divisors is an integer number (4451666040).

Almost surely, 2^34402400401 is an apocalyptic number.

It is an amenable number.

34402400401 is a deficient number, since it is larger than the sum of its proper divisors (1210927919).

34402400401 is a wasteful number, since it uses less digits than its factorization.

34402400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821303.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34402400401 its reverse (10400420443), we get a palindrome (44802820844).

The spelling of 34402400401 in words is "thirty-four billion, four hundred two million, four hundred thousand, four hundred one".