3248066304 has 216 divisors, whose sum is σ = 11100718720. Its totient is φ = 927894528.

The previous prime is 3248066299. The next prime is 3248066309. The reversal of 3248066304 is 4036608423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3248066299) and next prime (3248066309).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×3248066304³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3248066309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431727 + ... + 439185.

Almost surely, 2^3248066304 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 3248066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550359360).

3248066304 is an abundant number, since it is smaller than the sum of its proper divisors (7852652416).

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

3248066304 is an frugal number, since it uses more digits than its factorization.

3248066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3248066304 is about 56991.8090956937. The cubic root of 3248066304 is about 1480.9542032649.

The spelling of 3248066304 in words is "three billion, two hundred forty-eight million, sixty-six thousand, three hundred four".