3102144000 has 320 divisors, whose sum is σ = 10479186432. Its totient is φ = 814080000.

The previous prime is 3102143971. The next prime is 3102144011. The reversal of 3102144000 is 4412013.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20543925 + ... + 20544075.

Almost surely, 2^3102144000 is an apocalyptic number.

3102144000 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 3102144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239593216).

3102144000 is an abundant number, since it is smaller than the sum of its proper divisors (7377042432).

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

3102144000 is a wasteful number, since it uses less digits than its factorization.

3102144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3102144000 is about 55696.8939888034. The cubic root of 3102144000 is about 1458.4358052258.

Adding to 3102144000 its reverse (4412013), we get a palindrome (3106556013).

The spelling of 3102144000 in words is "three billion, one hundred two million, one hundred forty-four thousand".