3931683840 has 704 divisors, whose sum is σ = 16978636800. Its totient is φ = 842268672.

The previous prime is 3931683827. The next prime is 3931683853. The reversal of 3931683840 is 483861393.

It is an interprime number because it is at equal distance from previous prime (3931683827) and next prime (3931683853).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16450441 + ... + 16450679.

Almost surely, 2^3931683840 is an apocalyptic number.

3931683840 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 3931683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489318400).

3931683840 is an abundant number, since it is smaller than the sum of its proper divisors (13046952960).

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

3931683840 is a wasteful number, since it uses less digits than its factorization.

3931683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3931683840 is about 62703.1405912016. The cubic root of 3931683840 is about 1578.3120145211.

The spelling of 3931683840 in words is "three billion, nine hundred thirty-one million, six hundred eighty-three thousand, eight hundred forty".