3290781312 has 192 divisors, whose sum is σ = 11655221760. Its totient is φ = 867870720.

The previous prime is 3290781311. The next prime is 3290781331. The reversal of 3290781312 is 2131870923.

It is a tau number, because it is divible by the number of its divisors (192).

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 (3290781311) 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 23 ways as a sum of consecutive naturals, for example, 89137 + ... + 120527.

It is an arithmetic number, because the mean of its divisors is an integer number (60704280).

Almost surely, 2^3290781312 is an apocalyptic number.

3290781312 is a gapful number since it is divisible by the number (32) 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 3290781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827610880).

3290781312 is an abundant number, since it is smaller than the sum of its proper divisors (8364440448).

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

3290781312 is a wasteful number, since it uses less digits than its factorization.

3290781312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31431 (or 31416 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3290781312 is about 57365.3319697533. The cubic root of 3290781312 is about 1487.4179131502.

The spelling of 3290781312 in words is "three billion, two hundred ninety million, seven hundred eighty-one thousand, three hundred twelve".