3275238240 has 480 divisors, whose sum is σ = 12470008320. Its totient is φ = 806962176.

The previous prime is 3275238227. The next prime is 3275238247. The reversal of 3275238240 is 428325723.

3275238240 is a `hidden beast` number, since 3 + 275 + 2 + 382 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3275238195 and 3275238204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3275238247) 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 79 ways as a sum of consecutive naturals, for example, 11573139 + ... + 11573421.

It is an arithmetic number, because the mean of its divisors is an integer number (25979184).

Almost surely, 2^3275238240 is an apocalyptic number.

3275238240 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 3275238240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235004160).

3275238240 is an abundant number, since it is smaller than the sum of its proper divisors (9194770080).

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

3275238240 is a wasteful number, since it uses less digits than its factorization.

3275238240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3275238240 is about 57229.6971859890. The cubic root of 3275238240 is about 1485.0724176499.

The spelling of 3275238240 in words is "three billion, two hundred seventy-five million, two hundred thirty-eight thousand, two hundred forty".