3836263248 has 240 divisors, whose sum is σ = 12313676160. Its totient is φ = 1139401728.

The previous prime is 3836263243. The next prime is 3836263253. The reversal of 3836263248 is 8423626383.

3836263248 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 2 + 632 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3836263243) and next prime (3836263253).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836263241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2650461 + ... + 2651907.

It is an arithmetic number, because the mean of its divisors is an integer number (51306984).

Almost surely, 2^3836263248 is an apocalyptic number.

3836263248 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 3836263248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156838080).

3836263248 is an abundant number, since it is smaller than the sum of its proper divisors (8477412912).

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

3836263248 is a wasteful number, since it uses less digits than its factorization.

3836263248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1488 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3836263248 is about 61937.5754126685. The cubic root of 3836263248 is about 1565.4389440634.

The spelling of 3836263248 in words is "three billion, eight hundred thirty-six million, two hundred sixty-three thousand, two hundred forty-eight".