3833868114720 has 1152 divisors, whose sum is σ = 16038269485056. Its totient is φ = 846732496896.

The previous prime is 3833868114673. The next prime is 3833868114733. The reversal of 3833868114720 is 274118683383.

It is a happy number.

3833868114720 is a `hidden beast` number, since 3 + 83 + 3 + 86 + 8 + 11 + 472 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 966438177 + ... + 966442143.

It is an arithmetic number, because the mean of its divisors is an integer number (13922108928).

Almost surely, 2^{3833868114720} is an apocalyptic number.

3833868114720 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 3833868114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019134742528).

3833868114720 is an abundant number, since it is smaller than the sum of its proper divisors (12204401370336).

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

3833868114720 is a wasteful number, since it uses less digits than its factorization.

3833868114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3833868114720 in words is "three trillion, eight hundred thirty-three billion, eight hundred sixty-eight million, one hundred fourteen thousand, seven hundred twenty".