3284855692800 has 480 divisors, whose sum is σ = 11883211211520. Its totient is φ = 793273958400.

The previous prime is 3284855692799. The next prime is 3284855692801. The reversal of 3284855692800 is 82965584823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3284855692799) and next prime (3284855692801).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3284855692800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284855692801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 111076416 + ... + 111105984.

It is an arithmetic number, because the mean of its divisors is an integer number (24756690024).

Almost surely, 2^{3284855692800} is an apocalyptic number.

3284855692800 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 3284855692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941605605760).

3284855692800 is an abundant number, since it is smaller than the sum of its proper divisors (8598355518720).

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

3284855692800 is a wasteful number, since it uses less digits than its factorization.

3284855692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29874 (or 29853 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 3284855692800 in words is "three trillion, two hundred eighty-four billion, eight hundred fifty-five million, six hundred ninety-two thousand, eight hundred".