34014435440 has 40 divisors (see below), whose sum is σ = 79822681200. Its totient is φ = 13478614016.

The previous prime is 34014435437. The next prime is 34014435551. The reversal of 34014435440 is 4453441043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34014435397 and 34014435406.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1978265 + ... + 1995384.

It is an arithmetic number, because the mean of its divisors is an integer number (1995567030).

Almost surely, 2^34014435440 is an apocalyptic number.

It is an amenable number.

34014435440 is an abundant number, since it is smaller than the sum of its proper divisors (45808245760).

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

34014435440 is a wasteful number, since it uses less digits than its factorization.

34014435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973769 (or 3973763 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 34014435440 its reverse (4453441043), we get a palindrome (38467876483).

The spelling of 34014435440 in words is "thirty-four billion, fourteen million, four hundred thirty-five thousand, four hundred forty".