3316793425920 has 1440 divisors, whose sum is σ = 13327916958720. Its totient is φ = 777152102400.

The previous prime is 3316793425919. The next prime is 3316793425943. The reversal of 3316793425920 is 295243976133.

3316793425920 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 7 + 9 + 3 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×3316793425920⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54373662690 + ... + 54373662750.

It is an arithmetic number, because the mean of its divisors is an integer number (9255497888).

Almost surely, 2^{3316793425920} is an apocalyptic number.

3316793425920 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 3316793425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663958479360).

3316793425920 is an abundant number, since it is smaller than the sum of its proper divisors (10011123532800).

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

3316793425920 is an equidigital number, since it uses as much as digits as its factorization.

3316793425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3316793425920 in words is "three trillion, three hundred sixteen billion, seven hundred ninety-three million, four hundred twenty-five thousand, nine hundred twenty".