3830863040640 has 896 divisors, whose sum is σ = 14562301320000. Its totient is φ = 960525361152.

The previous prime is 3830863040623. The next prime is 3830863040663. The reversal of 3830863040640 is 460403680383.

3830863040640 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 8 + 630 + 4 + 0 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3830863040640² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1232183406 + ... + 1232186514.

Almost surely, 2^{3830863040640} is an apocalyptic number.

3830863040640 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 3830863040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281150660000).

3830863040640 is an abundant number, since it is smaller than the sum of its proper divisors (10731438279360).

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

3830863040640 is a wasteful number, since it uses less digits than its factorization.

3830863040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3277 counting only the distinct ones).

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

The spelling of 3830863040640 in words is "three trillion, eight hundred thirty billion, eight hundred sixty-three million, forty thousand, six hundred forty".