3933681930 has 96 divisors (see below), whose sum is σ = 10340628480. Its totient is φ = 1037450880.

The previous prime is 3933681923. The next prime is 3933681937. The reversal of 3933681930 is 391863393.

It is an interprime number because it is at equal distance from previous prime (3933681923) and next prime (3933681937).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3933681937) 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, 4790920 + ... + 4791740.

It is an arithmetic number, because the mean of its divisors is an integer number (107714880).

Almost surely, 2^3933681930 is an apocalyptic number.

3933681930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933681930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170314240).

3933681930 is an abundant number, since it is smaller than the sum of its proper divisors (6406946550).

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

3933681930 is a wasteful number, since it uses less digits than its factorization.

3933681930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3933681930 is about 62719.0715014181. The cubic root of 3933681930 is about 1578.5793364039.

The spelling of 3933681930 in words is "three billion, nine hundred thirty-three million, six hundred eighty-one thousand, nine hundred thirty".