34540022401 has 16 divisors (see below), whose sum is σ = 35997696000. Its totient is φ = 33105330000.

The previous prime is 34540022381. The next prime is 34540022437. The reversal of 34540022401 is 10422004543.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34540022401 - 2⁷ = 34540022273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34540022201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380400 + ... + 1405198.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856000).

Almost surely, 2^34540022401 is an apocalyptic number.

34540022401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34540022401 is a deficient number, since it is larger than the sum of its proper divisors (1457673599).

34540022401 is a wasteful number, since it uses less digits than its factorization.

34540022401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25260.

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 34540022401 its reverse (10422004543), we get a palindrome (44962026944).

The spelling of 34540022401 in words is "thirty-four billion, five hundred forty million, twenty-two thousand, four hundred one".