3851815968 has 576 divisors, whose sum is σ = 15216574464. Its totient is φ = 891648000.

The previous prime is 3851815939. The next prime is 3851815993. The reversal of 3851815968 is 8695181583.

3851815968 is a `hidden beast` number, since 38 + 5 + 18 + 1 + 596 + 8 = 666.

It is a Cunningham number, because it is equal to 62063²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8936713 + ... + 8937143.

It is an arithmetic number, because the mean of its divisors is an integer number (26417664).

Almost surely, 2^3851815968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3851815968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608287232).

3851815968 is an abundant number, since it is smaller than the sum of its proper divisors (11364758496).

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

3851815968 is a wasteful number, since it uses less digits than its factorization.

3851815968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 3851815968 is about 62062.9999919437. Note that the first 5 decimals coincide. The cubic root of 3851815968 is about 1567.5515906801.

The spelling of 3851815968 in words is "three billion, eight hundred fifty-one million, eight hundred fifteen thousand, nine hundred sixty-eight".