3248792064 has 600 divisors, whose sum is σ = 12073298688. Its totient is φ = 851005440.

The previous prime is 3248792047. The next prime is 3248792069. The reversal of 3248792064 is 4602978423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3248792069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 104799729 + ... + 104799759.

Almost surely, 2^3248792064 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 3248792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036649344).

3248792064 is an abundant number, since it is smaller than the sum of its proper divisors (8824506624).

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

3248792064 is an equidigital number, since it uses as much as digits as its factorization.

3248792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3248792064 is about 56998.1759708151. The cubic root of 3248792064 is about 1481.0644983531.

The spelling of 3248792064 in words is "three billion, two hundred forty-eight million, seven hundred ninety-two thousand, sixty-four".