3883800960 has 768 divisors, whose sum is σ = 15999197760. Its totient is φ = 891813888.

The previous prime is 3883800917. The next prime is 3883800967. The reversal of 3883800960 is 690083883.

3883800960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3883800967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34369864 + ... + 34369976.

Almost surely, 2^3883800960 is an apocalyptic number.

3883800960 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 3883800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999598880).

3883800960 is an abundant number, since it is smaller than the sum of its proper divisors (12115396800).

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

3883800960 is a wasteful number, since it uses less digits than its factorization.

3883800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3883800960 is about 62320.1489086796. The cubic root of 3883800960 is about 1571.8785524730.

The spelling of 3883800960 in words is "three billion, eight hundred eighty-three million, eight hundred thousand, nine hundred sixty".