3290087040 has 256 divisors, whose sum is σ = 10923171840. Its totient is φ = 841420800.

The previous prime is 3290087011. The next prime is 3290087041. The reversal of 3290087040 is 407800923.

It is a junction number, because it is equal to n+sod(n) for n = 3290086992 and 3290087010.

It is not an unprimeable number, because it can be changed into a prime (3290087041) 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 31 ways as a sum of consecutive naturals, for example, 9939675 + ... + 9940005.

It is an arithmetic number, because the mean of its divisors is an integer number (42668640).

Almost surely, 2^3290087040 is an apocalyptic number.

3290087040 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 3290087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461585920).

3290087040 is an abundant number, since it is smaller than the sum of its proper divisors (7633084800).

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

3290087040 is a wasteful number, since it uses less digits than its factorization.

3290087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3290087040 is about 57359.2803302133. The cubic root of 3290087040 is about 1487.3133032169.

Adding to 3290087040 its reverse (407800923), we get a palindrome (3697887963).

The spelling of 3290087040 in words is "three billion, two hundred ninety million, eighty-seven thousand, forty".