34404400040 has 32 divisors (see below), whose sum is σ = 80775550080. Its totient is φ = 13163422272.

The previous prime is 34404400027. The next prime is 34404400091. The reversal of 34404400040 is 4000440443.

It is a super-2 number, since 2×34404400040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34404399979 and 34404400015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18697124 + ... + 18698963.

It is an arithmetic number, because the mean of its divisors is an integer number (2524235940).

Almost surely, 2^34404400040 is an apocalyptic number.

It is an amenable number.

34404400040 is an abundant number, since it is smaller than the sum of its proper divisors (46371150040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34404400040 is a wasteful number, since it uses less digits than its factorization.

34404400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37396121 (or 37396117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 34404400040 its reverse (4000440443), we get a palindrome (38404840483).

The spelling of 34404400040 in words is "thirty-four billion, four hundred four million, four hundred thousand, forty".