3836496384 has 240 divisors, whose sum is σ = 12815554752. Its totient is φ = 1082179584.

The previous prime is 3836496383. The next prime is 3836496409. The reversal of 3836496384 is 4836946383.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3836496384.

It is not an unprimeable number, because it can be changed into a prime (3836496383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2676532 + ... + 2677964.

Almost surely, 2^3836496384 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 3836496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6407777376).

3836496384 is an abundant number, since it is smaller than the sum of its proper divisors (8979058368).

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

3836496384 is a wasteful number, since it uses less digits than its factorization.

3836496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1528 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 3836496384 is about 61939.4574080206. The cubic root of 3836496384 is about 1565.4706548504.

The spelling of 3836496384 in words is "three billion, eight hundred thirty-six million, four hundred ninety-six thousand, three hundred eighty-four".