3512224452000 has 768 divisors, whose sum is σ = 13205812838400. Its totient is φ = 808102400000.

The previous prime is 3512224451929. The next prime is 3512224452019. The reversal of 3512224452000 is 2544222153.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 225844225 + ... + 225859775.

It is an arithmetic number, because the mean of its divisors is an integer number (17195068800).

Almost surely, 2^{3512224452000} is an apocalyptic number.

3512224452000 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 3512224452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602906419200).

3512224452000 is an abundant number, since it is smaller than the sum of its proper divisors (9693588386400).

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

3512224452000 is a wasteful number, since it uses less digits than its factorization.

3512224452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678 (or 15660 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 3512224452000 its reverse (2544222153), we get a palindrome (3514768674153).

The spelling of 3512224452000 in words is "three trillion, five hundred twelve billion, two hundred twenty-four million, four hundred fifty-two thousand".