3775856640 has 272 divisors, whose sum is σ = 12683478528. Its totient is φ = 957349888.

The previous prime is 3775856639. The next prime is 3775856647. The reversal of 3775856640 is 466585773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3775856647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22609837 + ... + 22610003.

Almost surely, 2^3775856640 is an apocalyptic number.

3775856640 is a gapful number since it is divisible by the number (30) 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 3775856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341739264).

3775856640 is an abundant number, since it is smaller than the sum of its proper divisors (8907621888).

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

3775856640 is an equidigital number, since it uses as much as digits as its factorization.

3775856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The square root of 3775856640 is about 61447.9994792345. Note that the first 3 decimals coincide. The cubic root of 3775856640 is about 1557.1788591802.

The spelling of 3775856640 in words is "three billion, seven hundred seventy-five million, eight hundred fifty-six thousand, six hundred forty".