3933693936 has 80 divisors (see below), whose sum is σ = 11380224000. Its totient is φ = 1300888512.

The previous prime is 3933693931. The next prime is 3933693997. The reversal of 3933693936 is 6393963393.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (3933693931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19015 + ... + 90713.

It is an arithmetic number, because the mean of its divisors is an integer number (142252800).

Almost surely, 2^3933693936 is an apocalyptic number.

3933693936 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 3933693936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690112000).

3933693936 is an abundant number, since it is smaller than the sum of its proper divisors (7446530064).

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

3933693936 is a wasteful number, since it uses less digits than its factorization.

3933693936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71843 (or 71831 counting only the distinct ones).

The product of its digits is 6377292, while the sum is 54.

The square root of 3933693936 is about 62719.1672138590. The cubic root of 3933693936 is about 1578.5809423975.

The spelling of 3933693936 in words is "three billion, nine hundred thirty-three million, six hundred ninety-three thousand, nine hundred thirty-six".