34002340040 has 32 divisors (see below), whose sum is σ = 77553289080. Its totient is φ = 13414620672.

The previous prime is 34002340039. The next prime is 34002340051. The reversal of 34002340040 is 4004320043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16397826916 + 17604513124 = 128054^2 + 132682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34002339994 and 34002340021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5819399 + ... + 5825238.

Almost surely, 2^34002340040 is an apocalyptic number.

It is an amenable number.

34002340040 is an abundant number, since it is smaller than the sum of its proper divisors (43550949040).

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

34002340040 is a wasteful number, since it uses less digits than its factorization.

34002340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644721 (or 11644717 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34002340040 its reverse (4004320043), we get a palindrome (38006660083).

The spelling of 34002340040 in words is "thirty-four billion, two million, three hundred forty thousand, forty".