3512716064 has 96 divisors (see below), whose sum is σ = 8344679616. Its totient is φ = 1433963520.

The previous prime is 3512716037. The next prime is 3512716091. The reversal of 3512716064 is 4606172153.

3512716064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3512716037) and next prime (3512716091).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158939 + ... + 179685.

It is an arithmetic number, because the mean of its divisors is an integer number (86923746).

Almost surely, 2^3512716064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3512716064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172339808).

3512716064 is an abundant number, since it is smaller than the sum of its proper divisors (4831963552).

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

3512716064 is a wasteful number, since it uses less digits than its factorization.

3512716064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20818 (or 20810 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 3512716064 is about 59268.1707495684. The cubic root of 3512716064 is about 1520.1309997899.

The spelling of 3512716064 in words is "three billion, five hundred twelve million, seven hundred sixteen thousand, sixty-four".