3862727218350 has 960 divisors, whose sum is σ = 14626390851072. Its totient is φ = 729793152000.

The previous prime is 3862727218313. The next prime is 3862727218369. The reversal of 3862727218350 is 538127272683.

3862727218350 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 7 + 272 + 18 + 350 = 666.

It is a super-3 number, since 3×3862727218350³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 271614240 + ... + 271628460.

Almost surely, 2^{3862727218350} is an apocalyptic number.

3862727218350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3862727218350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313195425536).

3862727218350 is an abundant number, since it is smaller than the sum of its proper divisors (10763663632722).

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

3862727218350 is a wasteful number, since it uses less digits than its factorization.

3862727218350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14343 (or 14329 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3862727218350 in words is "three trillion, eight hundred sixty-two billion, seven hundred twenty-seven million, two hundred eighteen thousand, three hundred fifty".