3690864936 has 144 divisors (see below), whose sum is σ = 11256516180. Its totient is φ = 1091059200.

The previous prime is 3690864913. The next prime is 3690864943. The reversal of 3690864936 is 6394680963.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3599280036 + 91584900 = 59994^2 + 9570^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 352026 + ... + 362358.

Almost surely, 2^3690864936 is an apocalyptic number.

3690864936 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 3690864936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628258090).

3690864936 is an abundant number, since it is smaller than the sum of its proper divisors (7565651244).

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

3690864936 is a wasteful number, since it uses less digits than its factorization.

3690864936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 3690864936 is about 60752.4891341910. The cubic root of 3690864936 is about 1545.4064397122.

The spelling of 3690864936 in words is "three billion, six hundred ninety million, eight hundred sixty-four thousand, nine hundred thirty-six".