3288731040 has 432 divisors, whose sum is σ = 13193736192. Its totient is φ = 743758848.

The previous prime is 3288731023. The next prime is 3288731041. The reversal of 3288731040 is 401378823.

3288731040 is nontrivially palindromic in base 11.

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

It is a junction number, because it is equal to n+sod(n) for n = 3288730986 and 3288731004.

It is not an unprimeable number, because it can be changed into a prime (3288731041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8960937 + ... + 8961303.

It is an arithmetic number, because the mean of its divisors is an integer number (30541056).

Almost surely, 2^3288731040 is an apocalyptic number.

3288731040 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 3288731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596868096).

3288731040 is an abundant number, since it is smaller than the sum of its proper divisors (9905005152).

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

3288731040 is a wasteful number, since it uses less digits than its factorization.

3288731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3288731040 is about 57347.4588800585. The cubic root of 3288731040 is about 1487.1089444922.

The spelling of 3288731040 in words is "three billion, two hundred eighty-eight million, seven hundred thirty-one thousand, forty".