3289737360 has 640 divisors, whose sum is σ = 13375143936. Its totient is φ = 650280960.

The previous prime is 3289737343. The next prime is 3289737361. The reversal of 3289737360 is 637379823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3289737361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29112664 + ... + 29112776.

Almost surely, 2^3289737360 is an apocalyptic number.

3289737360 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 3289737360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687571968).

3289737360 is an abundant number, since it is smaller than the sum of its proper divisors (10085406576).

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

3289737360 is a wasteful number, since it uses less digits than its factorization.

3289737360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 3289737360 is about 57356.2320938187. The cubic root of 3289737360 is about 1487.2606093584.

The spelling of 3289737360 in words is "three billion, two hundred eighty-nine million, seven hundred thirty-seven thousand, three hundred sixty".