3286040976 has 135 divisors (see below), whose sum is σ = 9804023203. Its totient is φ = 1027246080.

The previous prime is 3286040971. The next prime is 3286040977. The reversal of 3286040976 is 6790406823.

The square root of 3286040976 is 57324.

It is a perfect power (a square), and thus also a powerful number.

3286040976 is a `hidden beast` number, since 32 + 8 + 604 + 0 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 687488400 + 2598552576 = 26220^2 + 50976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3286040971) 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 26 ways as a sum of consecutive naturals, for example, 11693956 + ... + 11694236.

Almost surely, 2^3286040976 is an apocalyptic number.

3286040976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3286040976 is the 57324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3286040976

3286040976 is an abundant number, since it is smaller than the sum of its proper divisors (6517982227).

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

3286040976 is a wasteful number, since it uses less digits than its factorization.

3286040976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 3286040976 is about 1486.7033666350.

The spelling of 3286040976 in words is "three billion, two hundred eighty-six million, forty thousand, nine hundred seventy-six".