34331110440 has 64 divisors (see below), whose sum is σ = 112356365760. Its totient is φ = 8322693120.

The previous prime is 34331110433. The next prime is 34331110441. The reversal of 34331110440 is 4401113343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34331110440.

It is not an unprimeable number, because it can be changed into a prime (34331110441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13002889 + ... + 13005528.

It is an arithmetic number, because the mean of its divisors is an integer number (1755568215).

Almost surely, 2^34331110440 is an apocalyptic number.

34331110440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34331110440 is an abundant number, since it is smaller than the sum of its proper divisors (78025255320).

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

34331110440 is a wasteful number, since it uses less digits than its factorization.

34331110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26008442 (or 26008438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34331110440 its reverse (4401113343), we get a palindrome (38732223783).

The spelling of 34331110440 in words is "thirty-four billion, three hundred thirty-one million, one hundred ten thousand, four hundred forty".