3930683520 has 384 divisors, whose sum is σ = 13598591040. Its totient is φ = 965173248.

The previous prime is 3930683513. The next prime is 3930683527. The reversal of 3930683520 is 253860393.

It is an interprime number because it is at equal distance from previous prime (3930683513) and next prime (3930683527).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3930683527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36735307 + ... + 36735413.

Almost surely, 2^3930683520 is an apocalyptic number.

3930683520 is a gapful number since it is divisible by the number (30) 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 3930683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799295520).

3930683520 is an abundant number, since it is smaller than the sum of its proper divisors (9667907520).

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

3930683520 is a wasteful number, since it uses less digits than its factorization.

3930683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3930683520 is about 62695.1634498228. The cubic root of 3930683520 is about 1578.1781489769.

The spelling of 3930683520 in words is "three billion, nine hundred thirty million, six hundred eighty-three thousand, five hundred twenty".