3546221125632 has 448 divisors, whose sum is σ = 9832190607360. Its totient is φ = 1136354918400.

The previous prime is 3546221125583. The next prime is 3546221125633. The reversal of 3546221125632 is 2365211226453.

It is not an unprimeable number, because it can be changed into a prime (3546221125633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18566602657 + ... + 18566602847.

Almost surely, 2^{3546221125632} is an apocalyptic number.

3546221125632 is a gapful number since it is divisible by the number (32) 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 3546221125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916095303680).

3546221125632 is an abundant number, since it is smaller than the sum of its proper divisors (6285969481728).

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

3546221125632 is a wasteful number, since it uses less digits than its factorization.

3546221125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 3546221125632 in words is "three trillion, five hundred forty-six billion, two hundred twenty-one million, one hundred twenty-five thousand, six hundred thirty-two".