3267899945856 has 640 divisors, whose sum is σ = 12012774681600. Its totient is φ = 858748096512.

The previous prime is 3267899945833. The next prime is 3267899945861. The reversal of 3267899945856 is 6585499987623.

3267899945856 is a `hidden beast` number, since 3 + 2 + 6 + 78 + 9 + 99 + 458 + 5 + 6 = 666.

3267899945856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3267899945856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267000985 + ... + 267013223.

It is an arithmetic number, because the mean of its divisors is an integer number (18769960440).

Almost surely, 2^{3267899945856} is an apocalyptic number.

3267899945856 is a gapful number since it is divisible by the number (36) 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 3267899945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006387340800).

3267899945856 is an abundant number, since it is smaller than the sum of its proper divisors (8744874735744).

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

3267899945856 is a wasteful number, since it uses less digits than its factorization.

3267899945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568 (or 12547 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 3267899945856 in words is "three trillion, two hundred sixty-seven billion, eight hundred ninety-nine million, nine hundred forty-five thousand, eight hundred fifty-six".