3933584940 has 48 divisors (see below), whose sum is σ = 11393837280. Its totient is φ = 1012784640.

The previous prime is 3933584927. The next prime is 3933584957. The reversal of 3933584940 is 494853393.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3933584940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128601 + ... + 1132080.

It is an arithmetic number, because the mean of its divisors is an integer number (237371610).

Almost surely, 2^3933584940 is an apocalyptic number.

3933584940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3933584940 is an abundant number, since it is smaller than the sum of its proper divisors (7460252340).

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

3933584940 is a wasteful number, since it uses less digits than its factorization.

3933584940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260722 (or 2260720 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 3933584940 is about 62718.2982868636. The cubic root of 3933584940 is about 1578.5663623276.

The spelling of 3933584940 in words is "three billion, nine hundred thirty-three million, five hundred eighty-four thousand, nine hundred forty".