3833306328960 has 384 divisors, whose sum is σ = 13802735512800. Its totient is φ = 1005440532480.

The previous prime is 3833306328947. The next prime is 3833306328967. The reversal of 3833306328960 is 698236033383.

3833306328960 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 306 + 328 + 9 + 6 + 0 = 666.

3833306328960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3833306328897 and 3833306328906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833306328967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64269072 + ... + 64328688.

Almost surely, 2^{3833306328960} is an apocalyptic number.

3833306328960 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 3833306328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901367756400).

3833306328960 is an abundant number, since it is smaller than the sum of its proper divisors (9969429183840).

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

3833306328960 is an equidigital number, since it uses as much as digits as its factorization.

3833306328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59767 (or 59688 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 3833306328960 in words is "three trillion, eight hundred thirty-three billion, three hundred six million, three hundred twenty-eight thousand, nine hundred sixty".