3223796163840 has 2592 divisors, whose sum is σ = 14366940456960. Its totient is φ = 677221171200.

The previous prime is 3223796163839. The next prime is 3223796163893. The reversal of 3223796163840 is 483616973223.

3223796163840 is a `hidden beast` number, since 32 + 2 + 379 + 6 + 163 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×3223796163840³ (a number of 39 digits) contains 333 as substring.

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 287 ways as a sum of consecutive naturals, for example, 52849117410 + ... + 52849117470.

Almost surely, 2^{3223796163840} is an apocalyptic number.

3223796163840 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 3223796163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183470228480).

3223796163840 is an abundant number, since it is smaller than the sum of its proper divisors (11143144293120).

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

3223796163840 is an frugal number, since it uses more digits than its factorization.

3223796163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3223796163840 in words is "three trillion, two hundred twenty-three billion, seven hundred ninety-six million, one hundred sixty-three thousand, eight hundred forty".