3886426656 has 480 divisors, whose sum is σ = 13933624320. Its totient is φ = 1038749184.

The previous prime is 3886426651. The next prime is 3886426673. The reversal of 3886426656 is 6566246883.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3886426651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27959835 + ... + 27959973.

It is an arithmetic number, because the mean of its divisors is an integer number (29028384).

Almost surely, 2^3886426656 is an apocalyptic number.

3886426656 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 3886426656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966812160).

3886426656 is an abundant number, since it is smaller than the sum of its proper divisors (10047197664).

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

3886426656 is a wasteful number, since it uses less digits than its factorization.

3886426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3886426656 is about 62341.2115377942. The cubic root of 3886426656 is about 1572.2327025714.

The spelling of 3886426656 in words is "three billion, eight hundred eighty-six million, four hundred twenty-six thousand, six hundred fifty-six".