34010400801 has 16 divisors (see below), whose sum is σ = 48868372224. Its totient is φ = 20915366784.

The previous prime is 34010400799. The next prime is 34010400869. The reversal of 34010400801 is 10800401043.

It is not a de Polignac number, because 34010400801 - 2¹ = 34010400799 is a prime.

It is a super-2 number, since 2×34010400801² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34010400871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235236 + ... + 351221.

It is an arithmetic number, because the mean of its divisors is an integer number (3054273264).

Almost surely, 2^34010400801 is an apocalyptic number.

It is an amenable number.

34010400801 is a deficient number, since it is larger than the sum of its proper divisors (14857971423).

34010400801 is a wasteful number, since it uses less digits than its factorization.

34010400801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587960.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 34010400801 its reverse (10800401043), we get a palindrome (44810801844).

The spelling of 34010400801 in words is "thirty-four billion, ten million, four hundred thousand, eight hundred one".