3876414048 has 144 divisors (see below), whose sum is σ = 12496564080. Its totient is φ = 1129946112.

The previous prime is 3876414023. The next prime is 3876414133. The reversal of 3876414048 is 8404146783.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3876413994 and 3876414012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43890 + ... + 98382.

It is an arithmetic number, because the mean of its divisors is an integer number (86781695).

Almost surely, 2^3876414048 is an apocalyptic number.

3876414048 is a gapful number since it is divisible by the number (38) 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 3876414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248282040).

3876414048 is an abundant number, since it is smaller than the sum of its proper divisors (8620150032).

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

3876414048 is a wasteful number, since it uses less digits than its factorization.

3876414048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54541 (or 54530 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3876414048 is about 62260.8548608192. The cubic root of 3876414048 is about 1570.8813594349.

The spelling of 3876414048 in words is "three billion, eight hundred seventy-six million, four hundred fourteen thousand, forty-eight".