3833345786820 has 192 divisors, whose sum is σ = 11783794934016. Its totient is φ = 923389009920.

The previous prime is 3833345786513. The next prime is 3833345786843. The reversal of 3833345786820 is 286875433383.

3833345786820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65456592 + ... + 65515128.

It is an arithmetic number, because the mean of its divisors is an integer number (61373931948).

Almost surely, 2^{3833345786820} is an apocalyptic number.

3833345786820 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 3833345786820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891897467008).

3833345786820 is an abundant number, since it is smaller than the sum of its proper divisors (7950449147196).

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

3833345786820 is a wasteful number, since it uses less digits than its factorization.

3833345786820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59190 (or 59188 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 3833345786820 in words is "three trillion, eight hundred thirty-three billion, three hundred forty-five million, seven hundred eighty-six thousand, eight hundred twenty".