3145720320 has 320 divisors, whose sum is σ = 11348916480. Its totient is φ = 825753600.

The previous prime is 3145720301. The next prime is 3145720337. The reversal of 3145720320 is 230275413.

3145720320 is a `hidden beast` number, since 3 + 1 + 457 + 203 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 4907200 + ... + 4907840.

It is an arithmetic number, because the mean of its divisors is an integer number (35465364).

Almost surely, 2^3145720320 is an apocalyptic number.

3145720320 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 3145720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674458240).

3145720320 is an abundant number, since it is smaller than the sum of its proper divisors (8203196160).

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

3145720320 is an equidigital number, since it uses as much as digits as its factorization.

3145720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3145720320 is about 56086.7214231675. The cubic root of 3145720320 is about 1465.2330380566.

Adding to 3145720320 its reverse (230275413), we get a palindrome (3375995733).

The spelling of 3145720320 in words is "three billion, one hundred forty-five million, seven hundred twenty thousand, three hundred twenty".