3382804956960 has 2880 divisors, whose sum is σ = 15378602633856. Its totient is φ = 692827914240.

The previous prime is 3382804956871. The next prime is 3382804956967. The reversal of 3382804956960 is 696594082833.

3382804956960 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 8 + 0 + 4 + 9 + 569 + 60 = 666.

It is a super-2 number, since 2×3382804956960² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382804956967) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14902224367 + ... + 14902224593.

Almost surely, 2^{3382804956960} is an apocalyptic number.

3382804956960 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 3382804956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689301316928).

3382804956960 is an abundant number, since it is smaller than the sum of its proper divisors (11995797676896).

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

3382804956960 is a wasteful number, since it uses less digits than its factorization.

3382804956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 3382804956960 in words is "three trillion, three hundred eighty-two billion, eight hundred four million, nine hundred fifty-six thousand, nine hundred sixty".