3546505402242 has 192 divisors, whose sum is σ = 8344994934528. Its totient is φ = 1001559398400.

The previous prime is 3546505402189. The next prime is 3546505402243. The reversal of 3546505402242 is 2422045056453.

It is a junction number, because it is equal to n+sod(n) for n = 3546505402194 and 3546505402203.

It is not an unprimeable number, because it can be changed into a prime (3546505402243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583976118 + ... + 583982190.

It is an arithmetic number, because the mean of its divisors is an integer number (43463515284).

Almost surely, 2^{3546505402242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3546505402242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172497467264).

3546505402242 is an abundant number, since it is smaller than the sum of its proper divisors (4798489532286).

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

3546505402242 is a wasteful number, since it uses less digits than its factorization.

3546505402242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 3546505402242 in words is "three trillion, five hundred forty-six billion, five hundred five million, four hundred two thousand, two hundred forty-two".