3878922960 has 480 divisors, whose sum is σ = 15146352000. Its totient is φ = 879759360.

The previous prime is 3878922947. The next prime is 3878922967. The reversal of 3878922960 is 692298783.

It is a happy number.

It is a Cunningham number, because it is equal to 62281²-1.

It is a junction number, because it is equal to n+sod(n) for n = 3878922897 and 3878922906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3878922967) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22421434 + ... + 22421606.

It is an arithmetic number, because the mean of its divisors is an integer number (31554900).

Almost surely, 2^3878922960 is an apocalyptic number.

3878922960 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 3878922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573176000).

3878922960 is an abundant number, since it is smaller than the sum of its proper divisors (11267429040).

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

3878922960 is a wasteful number, since it uses less digits than its factorization.

3878922960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3878922960 is about 62280.9999919719. Note that the first 5 decimals coincide. The cubic root of 3878922960 is about 1571.2201908969.

The spelling of 3878922960 in words is "three billion, eight hundred seventy-eight million, nine hundred twenty-two thousand, nine hundred sixty".