3833345786688 has 672 divisors, whose sum is σ = 12783228606720. Its totient is φ = 1087414272000.

The previous prime is 3833345786513. The next prime is 3833345786843. The reversal of 3833345786688 is 8866875433383.

3833345786688 is a `hidden beast` number, since 3 + 8 + 3 + 33 + 457 + 8 + 66 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795792856 + ... + 795797672.

Almost surely, 2^{3833345786688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3833345786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391614303360).

3833345786688 is an abundant number, since it is smaller than the sum of its proper divisors (8949882820032).

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

3833345786688 is a wasteful number, since it uses less digits than its factorization.

3833345786688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4994 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 3833345786688 in words is "three trillion, eight hundred thirty-three billion, three hundred forty-five million, seven hundred eighty-six thousand, six hundred eighty-eight".