3860833213440 has 2112 divisors, whose sum is σ = 16635102382080. Its totient is φ = 846108426240.

The previous prime is 3860833213439. The next prime is 3860833213451. The reversal of 3860833213440 is 443123380683.

3860833213440 is a `hidden beast` number, since 3 + 8 + 608 + 3 + 3 + 2 + 1 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 21330570150 + ... + 21330570330.

Almost surely, 2^{3860833213440} is an apocalyptic number.

3860833213440 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 3860833213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317551191040).

3860833213440 is an abundant number, since it is smaller than the sum of its proper divisors (12774269168640).

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

3860833213440 is a wasteful number, since it uses less digits than its factorization.

3860833213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3860833213440 in words is "three trillion, eight hundred sixty billion, eight hundred thirty-three million, two hundred thirteen thousand, four hundred forty".