3504144312000 has 1344 divisors, whose sum is σ = 14136115593600. Its totient is φ = 823335321600.

The previous prime is 3504144311977. The next prime is 3504144312037. The reversal of 3504144312000 is 2134414053.

It is a happy number.

3504144312000 is a `hidden beast` number, since 3 + 5 + 0 + 414 + 43 + 1 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2069783154 + ... + 2069784846.

It is an arithmetic number, because the mean of its divisors is an integer number (10517943150).

Almost surely, 2^{3504144312000} is an apocalyptic number.

3504144312000 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 3504144312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068057796800).

3504144312000 is an abundant number, since it is smaller than the sum of its proper divisors (10631971281600).

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

3504144312000 is a wasteful number, since it uses less digits than its factorization.

3504144312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3504144312000 its reverse (2134414053), we get a palindrome (3506278726053).

The spelling of 3504144312000 in words is "three trillion, five hundred four billion, one hundred forty-four million, three hundred twelve thousand".