3883438656 has 252 divisors, whose sum is σ = 12134156580. Its totient is φ = 1186529280.

The previous prime is 3883438619. The next prime is 3883438667. The reversal of 3883438656 is 6568343883.

It can be written as a sum of positive squares in 6 ways, for example, as 111513600 + 3771925056 = 10560^2 + 61416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6824740 + ... + 6825308.

It is an arithmetic number, because the mean of its divisors is an integer number (48151415).

Almost surely, 2^3883438656 is an apocalyptic number.

3883438656 is a gapful number since it is divisible by the number (36) 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 3883438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067078290).

3883438656 is an abundant number, since it is smaller than the sum of its proper divisors (8250717924).

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

3883438656 is a wasteful number, since it uses less digits than its factorization.

3883438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 632 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3883438656 is about 62317.2420442368. The cubic root of 3883438656 is about 1571.8296729001.

The spelling of 3883438656 in words is "three billion, eight hundred eighty-three million, four hundred thirty-eight thousand, six hundred fifty-six".