3863274336 has 72 divisors (see below), whose sum is σ = 11001246984. Its totient is φ = 1285992960.

The previous prime is 3863274319. The next prime is 3863274379. The reversal of 3863274336 is 6334723683.

3863274336 is a `hidden beast` number, since 3 + 8 + 632 + 7 + 4 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3863274291 and 3863274300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210355 + ... + 227981.

It is an arithmetic number, because the mean of its divisors is an integer number (152795097).

Almost surely, 2^3863274336 is an apocalyptic number.

3863274336 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 3863274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500623492).

3863274336 is an abundant number, since it is smaller than the sum of its proper divisors (7137972648).

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

3863274336 is a wasteful number, since it uses less digits than its factorization.

3863274336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18404 (or 18393 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3863274336 is about 62155.2438334852. The cubic root of 3863274336 is about 1569.1044341377.

The spelling of 3863274336 in words is "three billion, eight hundred sixty-three million, two hundred seventy-four thousand, three hundred thirty-six".