3512401552000 has 384 divisors, whose sum is σ = 10163490377040. Its totient is φ = 1202094080000.

The previous prime is 3512401551979. The next prime is 3512401552007. The reversal of 3512401552000 is 2551042153.

It can be written as a sum of positive squares in 8 ways, for example, as 555955149376 + 2956446402624 = 745624^2 + 1719432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3512401552000.

It is not an unprimeable number, because it can be changed into a prime (3512401552007) 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, 32858640 + ... + 32965360.

Almost surely, 2^{3512401552000} 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 3512401552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081745188520).

3512401552000 is an abundant number, since it is smaller than the sum of its proper divisors (6651088825040).

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

3512401552000 is a wasteful number, since it uses less digits than its factorization.

3512401552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106789 (or 106756 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 3512401552000 its reverse (2551042153), we get a palindrome (3514952594153).

The spelling of 3512401552000 in words is "three trillion, five hundred twelve billion, four hundred one million, five hundred fifty-two thousand".