3836375424 has 480 divisors, whose sum is σ = 13742266200. Its totient is φ = 1024192512.

The previous prime is 3836375401. The next prime is 3836375429. The reversal of 3836375424 is 4245736383.

3836375424 is a `hidden beast` number, since 3 + 8 + 3 + 637 + 5 + 4 + 2 + 4 = 666.

Its product of digits (1451520) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 3836375424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836375429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52553052 + ... + 52553124.

Almost surely, 2^3836375424 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 3836375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871133100).

3836375424 is an abundant number, since it is smaller than the sum of its proper divisors (9905890776).

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

3836375424 is an equidigital number, since it uses as much as digits as its factorization.

3836375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3836375424 is about 61938.4809629684. The cubic root of 3836375424 is about 1565.4542022244.

The spelling of 3836375424 in words is "three billion, eight hundred thirty-six million, three hundred seventy-five thousand, four hundred twenty-four".