3546306034224 has 160 divisors (see below), whose sum is σ = 9599042764800. Its totient is φ = 1127325788160.

The previous prime is 3546306034213. The next prime is 3546306034301. The reversal of 3546306034224 is 4224306036453.

3546306034224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13225809 + ... + 13491279.

It is an arithmetic number, because the mean of its divisors is an integer number (59994017280).

Almost surely, 2^{3546306034224} 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 3546306034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799521382400).

3546306034224 is an abundant number, since it is smaller than the sum of its proper divisors (6052736730576).

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

3546306034224 is a wasteful number, since it uses less digits than its factorization.

3546306034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265683 (or 265677 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 3546306034224 in words is "three trillion, five hundred forty-six billion, three hundred six million, thirty-four thousand, two hundred twenty-four".