3144004500 has 384 divisors, whose sum is σ = 11647254528. Its totient is φ = 641088000.

The previous prime is 3144004483. The next prime is 3144004519. The reversal of 3144004500 is 54004413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4231129 + ... + 4231871.

It is an arithmetic number, because the mean of its divisors is an integer number (30331392).

Almost surely, 2^3144004500 is an apocalyptic number.

3144004500 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 3144004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823627264).

3144004500 is an abundant number, since it is smaller than the sum of its proper divisors (8503250028).

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

3144004500 is a wasteful number, since it uses less digits than its factorization.

3144004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3144004500 is about 56071.4232029115. The cubic root of 3144004500 is about 1464.9665878606.

Adding to 3144004500 its reverse (54004413), we get a palindrome (3198008913).

The spelling of 3144004500 in words is "three billion, one hundred forty-four million, four thousand, five hundred".