3856268736 has 280 divisors, whose sum is σ = 11982571920. Its totient is φ = 1224695808.

The previous prime is 3856268719. The next prime is 3856268743. The reversal of 3856268736 is 6378626583.

3856268736 is a `hidden beast` number, since 3 + 8 + 5 + 626 + 8 + 7 + 3 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16987855 + ... + 16988081.

Almost surely, 2^3856268736 is an apocalyptic number.

3856268736 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 3856268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991285960).

3856268736 is an abundant number, since it is smaller than the sum of its proper divisors (8126303184).

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

3856268736 is a wasteful number, since it uses less digits than its factorization.

3856268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 374 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3856268736 is about 62098.8625982795. The cubic root of 3856268736 is about 1568.1553972741.

The spelling of 3856268736 in words is "three billion, eight hundred fifty-six million, two hundred sixty-eight thousand, seven hundred thirty-six".