3800256768 has 432 divisors, whose sum is σ = 14121848832. Its totient is φ = 953856000.

The previous prime is 3800256767. The next prime is 3800256781. The reversal of 3800256768 is 8676520083.

3800256768 is a `hidden beast` number, since 3 + 80 + 0 + 2 + 567 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3800256767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499303 + ... + 5499993.

Almost surely, 2^3800256768 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 3800256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060924416).

3800256768 is an abundant number, since it is smaller than the sum of its proper divisors (10321592064).

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

3800256768 is a wasteful number, since it uses less digits than its factorization.

3800256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3800256768 is about 61646.2226580023. Note that the first 3 decimals coincide. The cubic root of 3800256768 is about 1560.5258976434.

The spelling of 3800256768 in words is "three billion, eight hundred million, two hundred fifty-six thousand, seven hundred sixty-eight".