3142412364 has 144 divisors (see below), whose sum is σ = 9296985600. Its totient is φ = 808404480.

The previous prime is 3142412353. The next prime is 3142412389. The reversal of 3142412364 is 4632142413.

3142412364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579337 + ... + 584735.

It is an arithmetic number, because the mean of its divisors is an integer number (64562400).

Almost surely, 2^3142412364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142412364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648492800).

3142412364 is an abundant number, since it is smaller than the sum of its proper divisors (6154573236).

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

3142412364 is a wasteful number, since it uses less digits than its factorization.

3142412364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5465 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3142412364 is about 56057.2240126105. The cubic root of 3142412364 is about 1464.7192578636.

Adding to 3142412364 its reverse (4632142413), we get a palindrome (7774554777).

The spelling of 3142412364 in words is "three billion, one hundred forty-two million, four hundred twelve thousand, three hundred sixty-four".