3768984960 has 256 divisors, whose sum is σ = 13357854720. Its totient is φ = 897638400.

The previous prime is 3768984911. The next prime is 3768985019. The reversal of 3768984960 is 694898673.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3768984894 and 3768984903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771325 + ... + 776195.

It is an arithmetic number, because the mean of its divisors is an integer number (52179120).

Almost surely, 2^3768984960 is an apocalyptic number.

3768984960 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 3768984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678927360).

3768984960 is an abundant number, since it is smaller than the sum of its proper divisors (9588869760).

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

3768984960 is a wasteful number, since it uses less digits than its factorization.

3768984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The square root of 3768984960 is about 61392.0594213942. The cubic root of 3768984960 is about 1556.2336491564.

The spelling of 3768984960 in words is "three billion, seven hundred sixty-eight million, nine hundred eighty-four thousand, nine hundred sixty".