3186745920 has 84 divisors (see below), whose sum is σ = 10961088060. Its totient is φ = 849798144.

The previous prime is 3186745853. The next prime is 3186745921. The reversal of 3186745920 is 295476813.

3186745920 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 376049664 + 2810696256 = 19392^2 + 53016^2 .

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).

3186745920 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3186745921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550375 + ... + 556134.

It is a 1-persistent number, because it is pandigital, but 2⋅3186745920 = 6373491840 is not.

Almost surely, 2^3186745920 is an apocalyptic number.

3186745920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3186745920 is an abundant number, since it is smaller than the sum of its proper divisors (7774342140).

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

3186745920 is a wasteful number, since it uses less digits than its factorization.

3186745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106532 (or 1106519 counting only the distinct ones).

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

The square root of 3186745920 is about 56451.2703134305. The cubic root of 3186745920 is about 1471.5752653752.

The spelling of 3186745920 in words is "three billion, one hundred eighty-six million, seven hundred forty-five thousand, nine hundred twenty".