3858065640000 has 2100 divisors, whose sum is σ = 16939048341292. Its totient is φ = 862202880000.

The previous prime is 3858065639977. The next prime is 3858065640001. The reversal of 3858065640000 is 465608583.

3858065640000 is a `hidden beast` number, since 3 + 8 + 5 + 80 + 6 + 564 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3364553769984 + 493511870016 = 1834272^2 + 702504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3858065640001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 5096519622 + ... + 5096520378.

Almost surely, 2^{3858065640000} is an apocalyptic number.

3858065640000 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 3858065640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469524170646).

3858065640000 is an abundant number, since it is smaller than the sum of its proper divisors (13080982701292).

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

3858065640000 is a wasteful number, since it uses less digits than its factorization.

3858065640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 3858065640000 in words is "three trillion, eight hundred fifty-eight billion, sixty-five million, six hundred forty thousand".