3380096563200 has 2016 divisors, whose sum is σ = 15224857109280. Its totient is φ = 726191308800.

The previous prime is 3380096563157. The next prime is 3380096563219. The reversal of 3380096563200 is 23656900833.

3380096563200 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 0 + 9 + 6 + 5 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×3380096563200³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 4441650820 + ... + 4441651580.

It is an arithmetic number, because the mean of its divisors is an integer number (7552012455).

Almost surely, 2^{3380096563200} is an apocalyptic number.

3380096563200 is a gapful number since it is divisible by the number (30) 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 3380096563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612428554640).

3380096563200 is an abundant number, since it is smaller than the sum of its proper divisors (11844760546080).

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

3380096563200 is an equidigital number, since it uses as much as digits as its factorization.

3380096563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3380096563200 in words is "three trillion, three hundred eighty billion, ninety-six million, five hundred sixty-three thousand, two hundred".