3382941481920 has 5376 divisors, whose sum is σ = 18283142707200. Its totient is φ = 575219957760.

The previous prime is 3382941481889. The next prime is 3382941481967. The reversal of 3382941481920 is 291841492833.

3382941481920 is a `hidden beast` number, since 3 + 38 + 2 + 9 + 41 + 481 + 92 + 0 = 666.

It is a super-2 number, since 2×3382941481920² (a number of 26 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 19554574954 + ... + 19554575126.

It is an arithmetic number, because the mean of its divisors is an integer number (3400882200).

Almost surely, 2^{3382941481920} is an apocalyptic number.

3382941481920 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 3382941481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141571353600).

3382941481920 is an abundant number, since it is smaller than the sum of its proper divisors (14900201225280).

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

3382941481920 is a wasteful number, since it uses less digits than its factorization.

3382941481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3382941481920 in words is "three trillion, three hundred eighty-two billion, nine hundred forty-one million, four hundred eighty-one thousand, nine hundred twenty".