3288014816 has 48 divisors (see below), whose sum is σ = 6595303680. Its totient is φ = 1613208960.

The previous prime is 3288014813. The next prime is 3288014819. The reversal of 3288014816 is 6184108823.

It is an interprime number because it is at equal distance from previous prime (3288014813) and next prime (3288014819).

It is a super-2 number, since 2×3288014816² = 21622082860471027712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288014813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578195 + ... + 583853.

It is an arithmetic number, because the mean of its divisors is an integer number (137402160).

Almost surely, 2^3288014816 is an apocalyptic number.

It is an amenable number.

3288014816 is an abundant number, since it is smaller than the sum of its proper divisors (3307288864).

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

3288014816 is a wasteful number, since it uses less digits than its factorization.

3288014816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 3288014816 is about 57341.2139390160. The cubic root of 3288014816 is about 1487.0009818329. Note that the first 3 decimals are identical.

The spelling of 3288014816 in words is "three billion, two hundred eighty-eight million, fourteen thousand, eight hundred sixteen".