34013510416 has 40 divisors (see below), whose sum is σ = 66077160920. Its totient is φ = 16961412096.

The previous prime is 34013510347. The next prime is 34013510423. The reversal of 34013510416 is 61401531043.

It can be written as a sum of positive squares in 4 ways, for example, as 25008259600 + 9005250816 = 158140^2 + 94896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12535876 + ... + 12538588.

It is an arithmetic number, because the mean of its divisors is an integer number (1651929023).

Almost surely, 2^34013510416 is an apocalyptic number.

It is an amenable number.

34013510416 is a deficient number, since it is larger than the sum of its proper divisors (32063650504).

34013510416 is a wasteful number, since it uses less digits than its factorization.

34013510416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 34013510416 in words is "thirty-four billion, thirteen million, five hundred ten thousand, four hundred sixteen".