3288895481649 has 32 divisors (see below), whose sum is σ = 4679073755136. Its totient is φ = 2047656316160.

The previous prime is 3288895481633. The next prime is 3288895481653. The reversal of 3288895481649 is 9461845988823.

It is a cyclic number.

It is not a de Polignac number, because 3288895481649 - 2⁴ = 3288895481633 is a prime.

It is a super-2 number, since 2×3288895481649² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3288895481659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86880844 + ... + 86918690.

It is an arithmetic number, because the mean of its divisors is an integer number (146221054848).

Almost surely, 2^{3288895481649} is an apocalyptic number.

It is an amenable number.

3288895481649 is a deficient number, since it is larger than the sum of its proper divisors (1390178273487).

3288895481649 is a wasteful number, since it uses less digits than its factorization.

3288895481649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51005.

The product of its digits is 955514880, while the sum is 75.

The spelling of 3288895481649 in words is "three trillion, two hundred eighty-eight billion, eight hundred ninety-five million, four hundred eighty-one thousand, six hundred forty-nine".