34016413120 has 28 divisors (see below), whose sum is σ = 81001584504. Its totient is φ = 13606565120.

The previous prime is 34016413073. The next prime is 34016413139. The reversal of 34016413120 is 2131461043.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 53150326 + ... + 53150965.

Almost surely, 2^34016413120 is an apocalyptic number.

It is an amenable number.

34016413120 is an abundant number, since it is smaller than the sum of its proper divisors (46985171384).

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

34016413120 is a wasteful number, since it uses less digits than its factorization.

34016413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106301308 (or 106301298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 34016413120 its reverse (2131461043), we get a palindrome (36147874163).

The spelling of 34016413120 in words is "thirty-four billion, sixteen million, four hundred thirteen thousand, one hundred twenty".