3939981120 has 168 divisors, whose sum is σ = 13578510816. Its totient is φ = 1048599552.

The previous prime is 3939981107. The next prime is 3939981137. The reversal of 3939981120 is 211899393.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1966039 + ... + 1968041.

Almost surely, 2^3939981120 is an apocalyptic number.

3939981120 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 3939981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789255408).

3939981120 is an abundant number, since it is smaller than the sum of its proper divisors (9638529696).

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

3939981120 is a wasteful number, since it uses less digits than its factorization.

3939981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 3939981120 is about 62769.2689140156. The cubic root of 3939981120 is about 1579.4215048231.

The spelling of 3939981120 in words is "three billion, nine hundred thirty-nine million, nine hundred eighty-one thousand, one hundred twenty".