3249912064 has 81 divisors (see below), whose sum is σ = 7561107057. Its totient is φ = 1390083072.

The previous prime is 3249912053. The next prime is 3249912077. The reversal of 3249912064 is 4602199423.

The square root of 3249912064 is 57008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2642782464 + 607129600 = 51408^2 + 24640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6384642 + ... + 6385150.

Almost surely, 2^3249912064 is an apocalyptic number.

3249912064 is the 57008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3249912064

3249912064 is an abundant number, since it is smaller than the sum of its proper divisors (4311194993).

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

3249912064 is an frugal number, since it uses more digits than its factorization.

3249912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 3249912064 is about 1481.2346745932.

The spelling of 3249912064 in words is "three billion, two hundred forty-nine million, nine hundred twelve thousand, sixty-four".