3328438510080 has 960 divisors, whose sum is σ = 12022568363520. Its totient is φ = 850503794688.

The previous prime is 3328438510063. The next prime is 3328438510091. The reversal of 3328438510080 is 800158348233.

3328438510080 is a `hidden beast` number, since 3 + 3 + 28 + 4 + 38 + 510 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3328438510080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19239528874 + ... + 19239529046.

It is an arithmetic number, because the mean of its divisors is an integer number (12523508712).

Almost surely, 2^{3328438510080} is an apocalyptic number.

3328438510080 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 3328438510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011284181760).

3328438510080 is an abundant number, since it is smaller than the sum of its proper divisors (8694129853440).

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

3328438510080 is a wasteful number, since it uses less digits than its factorization.

3328438510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3328438510080 in words is "three trillion, three hundred twenty-eight billion, four hundred thirty-eight million, five hundred ten thousand, eighty".