3883783680 has 640 divisors, whose sum is σ = 16498944000. Its totient is φ = 846692352.

The previous prime is 3883783667. The next prime is 3883783697. The reversal of 3883783680 is 863873883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11128146 + ... + 11128494.

It is an arithmetic number, because the mean of its divisors is an integer number (25779600).

Almost surely, 2^3883783680 is an apocalyptic number.

3883783680 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 3883783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472000).

3883783680 is an abundant number, since it is smaller than the sum of its proper divisors (12615160320).

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

3883783680 is a wasteful number, since it uses less digits than its factorization.

3883783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3883783680 is about 62320.0102695755. The cubic root of 3883783680 is about 1571.8762212428.

The spelling of 3883783680 in words is "three billion, eight hundred eighty-three million, seven hundred eighty-three thousand, six hundred eighty".