3287248320 has 168 divisors, whose sum is σ = 10912211856. Its totient is φ = 838356992.

The previous prime is 3287248319. The next prime is 3287248373. The reversal of 3287248320 is 238427823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504604 + ... + 511076.

It is an arithmetic number, because the mean of its divisors is an integer number (64953642).

Almost surely, 2^3287248320 is an apocalyptic number.

3287248320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456105928).

3287248320 is an abundant number, since it is smaller than the sum of its proper divisors (7624963536).

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

3287248320 is a wasteful number, since it uses less digits than its factorization.

3287248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3287248320 is about 57334.5299099940. The cubic root of 3287248320 is about 1486.8854238699.

The spelling of 3287248320 in words is "three billion, two hundred eighty-seven million, two hundred forty-eight thousand, three hundred twenty".