3941867520 has 504 divisors, whose sum is σ = 14907678084. Its totient is φ = 962592768.

The previous prime is 3941867513. The next prime is 3941867521. The reversal of 3941867520 is 257681493.

3941867520 is a `hidden beast` number, since 3 + 9 + 41 + 86 + 7 + 520 = 666.

3941867520 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3519811584 + 422055936 = 59328^2 + 20544^2 .

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

3941867520 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3941867521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106536942 + ... + 106536978.

It is a 1-persistent number, because it is pandigital, but 2⋅3941867520 = 7883735040 is not.

Almost surely, 2^3941867520 is an apocalyptic number.

3941867520 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 3941867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453839042).

3941867520 is an abundant number, since it is smaller than the sum of its proper divisors (10965810564).

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

3941867520 is a wasteful number, since it uses less digits than its factorization.

3941867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3941867520 is about 62784.2935772953. The cubic root of 3941867520 is about 1579.6735318644.

The spelling of 3941867520 in words is "three billion, nine hundred forty-one million, eight hundred sixty-seven thousand, five hundred twenty".