3546212327424 has 1008 divisors, whose sum is σ = 11733704865792. Its totient is φ = 1069507805184.

The previous prime is 3546212327423. The next prime is 3546212327473. The reversal of 3546212327424 is 4247232126453.

It is a happy number.

3546212327424 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 212 + 3 + 2 + 7 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3546212327424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546212327423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27922931649 + ... + 27922931775.

It is an arithmetic number, because the mean of its divisors is an integer number (11640580224).

Almost surely, 2^{3546212327424} 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 3546212327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866852432896).

3546212327424 is an abundant number, since it is smaller than the sum of its proper divisors (8187492538368).

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

3546212327424 is an equidigital number, since it uses as much as digits as its factorization.

3546212327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 228 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 3546212327424 in words is "three trillion, five hundred forty-six billion, two hundred twelve million, three hundred twenty-seven thousand, four hundred twenty-four".