3765283808 has 288 divisors, whose sum is σ = 9609707520. Its totient is φ = 1437004800.

The previous prime is 3765283783. The next prime is 3765283849. The reversal of 3765283808 is 8083825673.

3765283808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29647841 + ... + 29647967.

It is an arithmetic number, because the mean of its divisors is an integer number (33367040).

Almost surely, 2^3765283808 is an apocalyptic number.

3765283808 is a gapful number since it is divisible by the number (38) 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 3765283808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804853760).

3765283808 is an abundant number, since it is smaller than the sum of its proper divisors (5844423712).

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

3765283808 is a wasteful number, since it uses less digits than its factorization.

3765283808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The square root of 3765283808 is about 61361.9084448976. The cubic root of 3765283808 is about 1555.7240739639.

The spelling of 3765283808 in words is "three billion, seven hundred sixty-five million, two hundred eighty-three thousand, eight hundred eight".