3353667056480 has 192 divisors, whose sum is σ = 8641898657280. Its totient is φ = 1222444793856.

The previous prime is 3353667056477. The next prime is 3353667056483. The reversal of 3353667056480 is 846507663533.

It is an interprime number because it is at equal distance from previous prime (3353667056477) and next prime (3353667056483).

It is a super-2 number, since 2×3353667056480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353667056483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120869489 + ... + 120897231.

It is an arithmetic number, because the mean of its divisors is an integer number (45009888840).

Almost surely, 2^{3353667056480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3353667056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320949328640).

3353667056480 is an abundant number, since it is smaller than the sum of its proper divisors (5288231600800).

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

3353667056480 is a wasteful number, since it uses less digits than its factorization.

3353667056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28513 (or 28505 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 56.

The spelling of 3353667056480 in words is "three trillion, three hundred fifty-three billion, six hundred sixty-seven million, fifty-six thousand, four hundred eighty".