3775387968 has 336 divisors, whose sum is σ = 12681264960. Its totient is φ = 1103155200.

The previous prime is 3775387963. The next prime is 3775388017. The reversal of 3775387968 is 8697835773.

3775387968 is a `hidden beast` number, since 3 + 7 + 7 + 538 + 7 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3775387963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4960708 + ... + 4961468.

It is an arithmetic number, because the mean of its divisors is an integer number (37741860).

Almost surely, 2^3775387968 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 3775387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340632480).

3775387968 is an abundant number, since it is smaller than the sum of its proper divisors (8905876992).

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

3775387968 is a wasteful number, since it uses less digits than its factorization.

3775387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 806 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The square root of 3775387968 is about 61444.1857949147. The cubic root of 3775387968 is about 1557.1144290921.

The spelling of 3775387968 in words is "three billion, seven hundred seventy-five million, three hundred eighty-seven thousand, nine hundred sixty-eight".