3144145356 has 144 divisors (see below), whose sum is σ = 9297832320. Its totient is φ = 911164320.

The previous prime is 3144145351. The next prime is 3144145363. The reversal of 3144145356 is 6535414413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3144145356.

It is not an unprimeable number, because it can be changed into a prime (3144145351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625951 + ... + 630953.

It is an arithmetic number, because the mean of its divisors is an integer number (64568280).

Almost surely, 2^3144145356 is an apocalyptic number.

3144145356 is a gapful number since it is divisible by the number (36) 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 3144145356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648916160).

3144145356 is an abundant number, since it is smaller than the sum of its proper divisors (6153686964).

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

3144145356 is a wasteful number, since it uses less digits than its factorization.

3144145356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5042 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3144145356 is about 56072.6792297283. The cubic root of 3144145356 is about 1464.9884650825.

Adding to 3144145356 its reverse (6535414413), we get a palindrome (9679559769).

The spelling of 3144145356 in words is "three billion, one hundred forty-four million, one hundred forty-five thousand, three hundred fifty-six".