3833116640288 has 144 divisors (see below), whose sum is σ = 8463743265600. Its totient is φ = 1706031774720.

The previous prime is 3833116640257. The next prime is 3833116640329. The reversal of 3833116640288 is 8820466113383.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131567483 + ... + 131596613.

It is an arithmetic number, because the mean of its divisors is an integer number (58775994900).

Almost surely, 2^{3833116640288} 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 3833116640288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231871632800).

3833116640288 is an abundant number, since it is smaller than the sum of its proper divisors (4630626625312).

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

3833116640288 is a wasteful number, since it uses less digits than its factorization.

3833116640288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30035 (or 30014 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 3833116640288 in words is "three trillion, eight hundred thirty-three billion, one hundred sixteen million, six hundred forty thousand, two hundred eighty-eight".