3939747840 has 576 divisors, whose sum is σ = 16190254080. Its totient is φ = 867041280.

The previous prime is 3939747839. The next prime is 3939747859. The reversal of 3939747840 is 487479393.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3939747840² = 31043226085569331200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 19998622 + ... + 19998818.

It is an arithmetic number, because the mean of its divisors is an integer number (28108080).

Almost surely, 2^3939747840 is an apocalyptic number.

3939747840 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 3939747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095127040).

3939747840 is an abundant number, since it is smaller than the sum of its proper divisors (12250506240).

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

3939747840 is a wasteful number, since it uses less digits than its factorization.

3939747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3939747840 is about 62767.4106523441. The cubic root of 3939747840 is about 1579.3903325315.

The spelling of 3939747840 in words is "three billion, nine hundred thirty-nine million, seven hundred forty-seven thousand, eight hundred forty".