3329706885120 has 2448 divisors, whose sum is σ = 15316004960256. Its totient is φ = 653996851200.

The previous prime is 3329706885119. The next prime is 3329706885137. The reversal of 3329706885120 is 215886079233.

3329706885120 is a `hidden beast` number, since 3 + 32 + 97 + 0 + 6 + 8 + 8 + 512 + 0 = 666.

It is a super-2 number, since 2×3329706885120² (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 143 ways as a sum of consecutive naturals, for example, 77435043819 + ... + 77435043861.

Almost surely, 2^{3329706885120} is an apocalyptic number.

3329706885120 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 3329706885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658002480128).

3329706885120 is an abundant number, since it is smaller than the sum of its proper divisors (11986298075136).

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

3329706885120 is a wasteful number, since it uses less digits than its factorization.

3329706885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3329706885120 in words is "three trillion, three hundred twenty-nine billion, seven hundred six million, eight hundred eighty-five thousand, one hundred twenty".