3836490400 has 36 divisors (see below), whose sum is σ = 9365834142. Its totient is φ = 1534595840.

The previous prime is 3836490391. The next prime is 3836490407. The reversal of 3836490400 is 40946383.

It can be written as a sum of positive squares in 3 ways, for example, as 2328255504 + 1508234896 = 48252^2 + 38836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3836490400.

It is not an unprimeable number, because it can be changed into a prime (3836490407) 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 5 ways as a sum of consecutive naturals, for example, 2397007 + ... + 2398606.

Almost surely, 2^3836490400 is an apocalyptic number.

It is an amenable number.

3836490400 is an abundant number, since it is smaller than the sum of its proper divisors (5529343742).

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

3836490400 is a wasteful number, since it uses less digits than its factorization.

3836490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795633 (or 4795620 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 3836490400 is about 61939.4091027675. The cubic root of 3836490400 is about 1565.4698409324.

The spelling of 3836490400 in words is "three billion, eight hundred thirty-six million, four hundred ninety thousand, four hundred".