3862256256 has 160 divisors (see below), whose sum is σ = 11574821280. Its totient is φ = 1278374400.

The previous prime is 3862256249. The next prime is 3862256263. The reversal of 3862256256 is 6526522683.

3862256256 is a `hidden beast` number, since 3 + 86 + 2 + 2 + 562 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3862256249) and next prime (3862256263).

It is a super-2 number, since 2×3862256256² = 29834046774022275072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1564335 + ... + 1566801.

It is an arithmetic number, because the mean of its divisors is an integer number (72342633).

Almost surely, 2^3862256256 is an apocalyptic number.

3862256256 is a gapful number since it is divisible by the number (36) 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 3862256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787410640).

3862256256 is an abundant number, since it is smaller than the sum of its proper divisors (7712565024).

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

3862256256 is a wasteful number, since it uses less digits than its factorization.

3862256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2623 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3862256256 is about 62147.0534780210. The cubic root of 3862256256 is about 1568.9665878403.

The spelling of 3862256256 in words is "three billion, eight hundred sixty-two million, two hundred fifty-six thousand, two hundred fifty-six".