3821889456 has 360 divisors, whose sum is σ = 13916015568. Its totient is φ = 967680000.

The previous prime is 3821889443. The next prime is 3821889481. The reversal of 3821889456 is 6549881283.

3821889456 is a `hidden beast` number, since 3 + 8 + 2 + 188 + 9 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3181656 + ... + 3182856.

Almost surely, 2^3821889456 is an apocalyptic number.

3821889456 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 3821889456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958007784).

3821889456 is an abundant number, since it is smaller than the sum of its proper divisors (10094126112).

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

3821889456 is a wasteful number, since it uses less digits than its factorization.

3821889456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3821889456 is about 61821.4320118840. The cubic root of 3821889456 is about 1563.4813572371.

The spelling of 3821889456 in words is "three billion, eight hundred twenty-one million, eight hundred eighty-nine thousand, four hundred fifty-six".