3281601040 has 80 divisors (see below), whose sum is σ = 7953365952. Its totient is φ = 1258025472.

The previous prime is 3281601023. The next prime is 3281601049. The reversal of 3281601040 is 401061823.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3281600996 and 3281601014.

It is not an unprimeable number, because it can be changed into a prime (3281601049) 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 15 ways as a sum of consecutive naturals, for example, 190047 + ... + 206593.

Almost surely, 2^3281601040 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 3281601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976682976).

3281601040 is an abundant number, since it is smaller than the sum of its proper divisors (4671764912).

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

3281601040 is a wasteful number, since it uses less digits than its factorization.

3281601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664 (or 16658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3281601040 is about 57285.2602333270. The cubic root of 3281601040 is about 1486.0334781580.

Adding to 3281601040 its reverse (401061823), we get a palindrome (3682662863).

The spelling of 3281601040 in words is "three billion, two hundred eighty-one million, six hundred one thousand, forty".