34036654401 has 24 divisors (see below), whose sum is σ = 50035625640. Its totient is φ = 22289817600.

The previous prime is 34036654381. The next prime is 34036654447. The reversal of 34036654401 is 10445663043.

It can be written as a sum of positive squares in 4 ways, for example, as 3060302400 + 30976352001 = 55320^2 + 176001^2 .

It is not a de Polignac number, because 34036654401 - 2⁷ = 34036654273 is a prime.

It is a super-2 number, since 2×34036654401² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34036654801) 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, 381871 + ... + 462491.

It is an arithmetic number, because the mean of its divisors is an integer number (2084817735).

Almost surely, 2^34036654401 is an apocalyptic number.

It is an amenable number.

34036654401 is a deficient number, since it is larger than the sum of its proper divisors (15998971239).

34036654401 is a wasteful number, since it uses less digits than its factorization.

34036654401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81457 (or 81454 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34036654401 in words is "thirty-four billion, thirty-six million, six hundred fifty-four thousand, four hundred one".