3685993248 has 384 divisors, whose sum is σ = 12231475200. Its totient is φ = 968647680.

The previous prime is 3685993247. The next prime is 3685993309. The reversal of 3685993248 is 8423995863.

It is not an unprimeable number, because it can be changed into a prime (3685993247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23477586 + ... + 23477742.

It is an arithmetic number, because the mean of its divisors is an integer number (31852800).

Almost surely, 2^3685993248 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 3685993248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115737600).

3685993248 is an abundant number, since it is smaller than the sum of its proper divisors (8545481952).

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

3685993248 is a wasteful number, since it uses less digits than its factorization.

3685993248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The square root of 3685993248 is about 60712.3813402176. The cubic root of 3685993248 is about 1544.7261969108.

The spelling of 3685993248 in words is "three billion, six hundred eighty-five million, nine hundred ninety-three thousand, two hundred forty-eight".