3774128256 has 192 divisors, whose sum is σ = 11427998400. Its totient is φ = 1239598080.

The previous prime is 3774128233. The next prime is 3774128257. The reversal of 3774128256 is 6528214773.

3774128256 is a `hidden beast` number, since 377 + 4 + 1 + 28 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3774128257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2207530 + ... + 2209238.

It is an arithmetic number, because the mean of its divisors is an integer number (59520825).

Almost surely, 2^3774128256 is an apocalyptic number.

3774128256 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 3774128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713999200).

3774128256 is an abundant number, since it is smaller than the sum of its proper divisors (7653870144).

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

3774128256 is an equidigital number, since it uses as much as digits as its factorization.

3774128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1785 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3774128256 is about 61433.9340755579. The cubic root of 3774128256 is about 1556.9412253533.

The spelling of 3774128256 in words is "three billion, seven hundred seventy-four million, one hundred twenty-eight thousand, two hundred fifty-six".