3941809920 has 864 divisors, whose sum is σ = 16070745600. Its totient is φ = 919683072.

The previous prime is 3941809913. The next prime is 3941809933. The reversal of 3941809920 is 299081493.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 135924466 + ... + 135924494.

It is an arithmetic number, because the mean of its divisors is an integer number (18600400).

Almost surely, 2^3941809920 is an apocalyptic number.

3941809920 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 3941809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035372800).

3941809920 is an abundant number, since it is smaller than the sum of its proper divisors (12128935680).

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

3941809920 is a wasteful number, since it uses less digits than its factorization.

3941809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3941809920 is about 62783.8348621681. The cubic root of 3941809920 is about 1579.6658375724.

The spelling of 3941809920 in words is "three billion, nine hundred forty-one million, eight hundred nine thousand, nine hundred twenty".