3936893688 has 192 divisors, whose sum is σ = 13185768960. Its totient is φ = 1033337088.

The previous prime is 3936893687. The next prime is 3936893699. The reversal of 3936893688 is 8863986393.

It is a super-2 number, since 2×3936893688² = 30998263821228482688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936893683) 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 47 ways as a sum of consecutive naturals, for example, 1485981 + ... + 1488627.

It is an arithmetic number, because the mean of its divisors is an integer number (68675880).

Almost surely, 2^3936893688 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 3936893688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592884480).

3936893688 is an abundant number, since it is smaller than the sum of its proper divisors (9248875272).

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

3936893688 is a wasteful number, since it uses less digits than its factorization.

3936893688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2899 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The square root of 3936893688 is about 62744.6705944019. The cubic root of 3936893688 is about 1579.0088437272.

The spelling of 3936893688 in words is "three billion, nine hundred thirty-six million, eight hundred ninety-three thousand, six hundred eighty-eight".