3140401320 has 256 divisors, whose sum is σ = 12593664000. Its totient is φ = 679995648.

The previous prime is 3140401283. The next prime is 3140401321. The reversal of 3140401320 is 231040413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3140401293 and 3140401302.

It is not an unprimeable number, because it can be changed into a prime (3140401321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 132709 + ... + 154571.

It is an arithmetic number, because the mean of its divisors is an integer number (49194000).

Almost surely, 2^3140401320 is an apocalyptic number.

3140401320 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 3140401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296832000).

3140401320 is an abundant number, since it is smaller than the sum of its proper divisors (9453262680).

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

3140401320 is a wasteful number, since it uses less digits than its factorization.

3140401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909 (or 21899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3140401320 is about 56039.2837213325. The cubic root of 3140401320 is about 1464.4067332675.

Adding to 3140401320 its reverse (231040413), we get a palindrome (3371441733).

The spelling of 3140401320 in words is "three billion, one hundred forty million, four hundred one thousand, three hundred twenty".