3201073655808 has 832 divisors, whose sum is σ = 10643844096000. Its totient is φ = 852735098880.

The previous prime is 3201073655783. The next prime is 3201073655809. The reversal of 3201073655808 is 8085563701023.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3201073655809) 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 63 ways as a sum of consecutive naturals, for example, 5685743335 + ... + 5685743897.

Almost surely, 2^{3201073655808} is an apocalyptic number.

3201073655808 is a gapful number since it is divisible by the number (38) 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 3201073655808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321922048000).

3201073655808 is an abundant number, since it is smaller than the sum of its proper divisors (7442770440192).

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

3201073655808 is an equidigital number, since it uses as much as digits as its factorization.

3201073655808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 3201073655808 in words is "three trillion, two hundred one billion, seventy-three million, six hundred fifty-five thousand, eight hundred eight".