3775883328 has 336 divisors, whose sum is σ = 13526682624. Its totient is φ = 982056960.

The previous prime is 3775883327. The next prime is 3775883333. The reversal of 3775883328 is 8233885773.

3775883328 is a `hidden beast` number, since 3 + 7 + 7 + 588 + 33 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3775883327) 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, 2123976 + ... + 2125752.

It is an arithmetic number, because the mean of its divisors is an integer number (40257984).

Almost surely, 2^3775883328 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 3775883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763341312).

3775883328 is an abundant number, since it is smaller than the sum of its proper divisors (9750799296).

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

3775883328 is a wasteful number, since it uses less digits than its factorization.

3775883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1837 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 3775883328 is about 61448.2166380766. The cubic root of 3775883328 is about 1557.1825279187.

The spelling of 3775883328 in words is "three billion, seven hundred seventy-five million, eight hundred eighty-three thousand, three hundred twenty-eight".