3219853012992 has 832 divisors, whose sum is σ = 12011691294720. Its totient is φ = 827980185600.

The previous prime is 3219853012967. The next prime is 3219853013009. The reversal of 3219853012992 is 2992103589123.

3219853012992 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 8 + 530 + 12 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 877103317 + ... + 877106987.

It is an arithmetic number, because the mean of its divisors is an integer number (14437128960).

Almost surely, 2^{3219853012992} is an apocalyptic number.

3219853012992 is a gapful number since it is divisible by the number (32) 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 3219853012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005845647360).

3219853012992 is an abundant number, since it is smaller than the sum of its proper divisors (8791838281728).

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

3219853012992 is a wasteful number, since it uses less digits than its factorization.

3219853012992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 3219853012992 in words is "three trillion, two hundred nineteen billion, eight hundred fifty-three million, twelve thousand, nine hundred ninety-two".