3323120148480 has 672 divisors, whose sum is σ = 11911231053792. Its totient is φ = 790217359360.

The previous prime is 3323120148473. The next prime is 3323120148511. The reversal of 3323120148480 is 848410213233.

It is a super-2 number, since 2×3323120148480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788027332 + ... + 788031548.

It is an arithmetic number, because the mean of its divisors is an integer number (17725046211).

Almost surely, 2^{3323120148480} is an apocalyptic number.

3323120148480 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 3323120148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955615526896).

3323120148480 is an abundant number, since it is smaller than the sum of its proper divisors (8588110905312).

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

3323120148480 is a wasteful number, since it uses less digits than its factorization.

3323120148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 3323120148480 in words is "three trillion, three hundred twenty-three billion, one hundred twenty million, one hundred forty-eight thousand, four hundred eighty".