3482185996800 has 2880 divisors, whose sum is σ = 16456459219200. Its totient is φ = 683723980800.

The previous prime is 3482185996769. The next prime is 3482185996853. The reversal of 3482185996800 is 86995812843.

3482185996800 is a `hidden beast` number, since 3 + 482 + 1 + 8 + 5 + 99 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3482185996800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7553548570 + ... + 7553549030.

It is an arithmetic number, because the mean of its divisors is an integer number (5714048340).

Almost surely, 2^{3482185996800} is an apocalyptic number.

3482185996800 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 3482185996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228229609600).

3482185996800 is an abundant number, since it is smaller than the sum of its proper divisors (12974273222400).

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

3482185996800 is a wasteful number, since it uses less digits than its factorization.

3482185996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 3482185996800 in words is "three trillion, four hundred eighty-two billion, one hundred eighty-five million, nine hundred ninety-six thousand, eight hundred".