3223469136384 has 1440 divisors, whose sum is σ = 12516078294720. Its totient is φ = 820691730432.

The previous prime is 3223469136341. The next prime is 3223469136451. The reversal of 3223469136384 is 4836319643223.

3223469136384 is a `hidden beast` number, since 3 + 223 + 4 + 6 + 9 + 1 + 36 + 384 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3223469136384.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1969131214 + ... + 1969132850.

It is an arithmetic number, because the mean of its divisors is an integer number (8691721038).

Almost surely, 2^{3223469136384} is an apocalyptic number.

3223469136384 is a gapful number since it is divisible by the number (34) 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 3223469136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258039147360).

3223469136384 is an abundant number, since it is smaller than the sum of its proper divisors (9292609158336).

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

3223469136384 is a wasteful number, since it uses less digits than its factorization.

3223469136384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1685 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 3223469136384 in words is "three trillion, two hundred twenty-three billion, four hundred sixty-nine million, one hundred thirty-six thousand, three hundred eighty-four".