34120333440 has 96 divisors (see below), whose sum is σ = 117821796300. Its totient is φ = 9098754048.

The previous prime is 34120333439. The next prime is 34120333441. The reversal of 34120333440 is 4433302143.

It is an interprime number because it is at equal distance from previous prime (34120333439) and next prime (34120333441).

It can be written as a sum of positive squares in 2 ways, for example, as 31772349504 + 2347983936 = 178248^2 + 48456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34120333441) 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 11 ways as a sum of consecutive naturals, for example, 2956075 + ... + 2967594.

Almost surely, 2^34120333440 is an apocalyptic number.

34120333440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34120333440 is an abundant number, since it is smaller than the sum of its proper divisors (83701462860).

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

34120333440 is a wasteful number, since it uses less digits than its factorization.

34120333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923694 (or 5923679 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34120333440 its reverse (4433302143), we get a palindrome (38553635583).

The spelling of 34120333440 in words is "thirty-four billion, one hundred twenty million, three hundred thirty-three thousand, four hundred forty".