4038886956 has 144 divisors (see below), whose sum is σ = 10860242400. Its totient is φ = 1159925760.

The previous prime is 4038886937. The next prime is 4038886961. The reversal of 4038886956 is 6596888304.

It is a junction number, because it is equal to n+sod(n) for n = 4038886896 and 4038886905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4347100 + ... + 4348028.

It is an arithmetic number, because the mean of its divisors is an integer number (75418350).

Almost surely, 2^4038886956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038886956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430121200).

4038886956 is an abundant number, since it is smaller than the sum of its proper divisors (6821355444).

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

4038886956 is a wasteful number, since it uses less digits than its factorization.

4038886956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 4038886956 is about 63552.2380093730. The cubic root of 4038886956 is about 1592.5285711296.

The spelling of 4038886956 in words is "four billion, thirty-eight million, eight hundred eighty-six thousand, nine hundred fifty-six".