3281362560 has 384 divisors, whose sum is σ = 13098758400. Its totient is φ = 741408768.

The previous prime is 3281362543. The next prime is 3281362561. The reversal of 3281362560 is 652631823.

It is a happy number.

3281362560 is a `hidden beast` number, since 3 + 28 + 1 + 3 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3281362561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3910621 + ... + 3911459.

It is an arithmetic number, because the mean of its divisors is an integer number (34111350).

Almost surely, 2^3281362560 is an apocalyptic number.

3281362560 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 3281362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549379200).

3281362560 is an abundant number, since it is smaller than the sum of its proper divisors (9817395840).

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

3281362560 is a wasteful number, since it uses less digits than its factorization.

3281362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3281362560 is about 57283.1786827512. The cubic root of 3281362560 is about 1485.9974796880.

The spelling of 3281362560 in words is "three billion, two hundred eighty-one million, three hundred sixty-two thousand, five hundred sixty".