3281935360 has 176 divisors, whose sum is σ = 9043482240. Its totient is φ = 1130250240.

The previous prime is 3281935339. The next prime is 3281935361. The reversal of 3281935360 is 635391823.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281935361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1068547 + ... + 1071613.

Almost surely, 2^3281935360 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 3281935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521741120).

3281935360 is an abundant number, since it is smaller than the sum of its proper divisors (5761546880).

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

3281935360 is a wasteful number, since it uses less digits than its factorization.

3281935360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 3281935360 is about 57288.1781871269. The cubic root of 3281935360 is about 1486.0839407052.

The spelling of 3281935360 in words is "three billion, two hundred eighty-one million, nine hundred thirty-five thousand, three hundred sixty".