3878876160 has 440 divisors, whose sum is σ = 14266771200. Its totient is φ = 1007271936.

The previous prime is 3878876149. The next prime is 3878876173. The reversal of 3878876160 is 616788783.

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

It is a junction number, because it is equal to n+sod(n) for n = 3878876097 and 3878876106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19491741 + ... + 19491939.

It is an arithmetic number, because the mean of its divisors is an integer number (32424480).

Almost surely, 2^3878876160 is an apocalyptic number.

3878876160 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 3878876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133385600).

3878876160 is an abundant number, since it is smaller than the sum of its proper divisors (10387895040).

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

3878876160 is a wasteful number, since it uses less digits than its factorization.

3878876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 3878876160 is about 62280.6242743279. The cubic root of 3878876160 is about 1571.2138718403.

The spelling of 3878876160 in words is "three billion, eight hundred seventy-eight million, eight hundred seventy-six thousand, one hundred sixty".