3546306036126 has 144 divisors (see below), whose sum is σ = 9343349668224. Its totient is φ = 967452238368.

The previous prime is 3546306036121. The next prime is 3546306036139. The reversal of 3546306036126 is 6216306036453.

3546306036126 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 30 + 603 + 6 + 1 + 2 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546306036121) 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, 11265765 + ... + 11576271.

It is an arithmetic number, because the mean of its divisors is an integer number (64884372696).

Almost surely, 2^{3546306036126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3546306036126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671674834112).

3546306036126 is an abundant number, since it is smaller than the sum of its proper divisors (5797043632098).

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

3546306036126 is a wasteful number, since it uses less digits than its factorization.

3546306036126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311115 (or 311105 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 3546306036126 in words is "three trillion, five hundred forty-six billion, three hundred six million, thirty-six thousand, one hundred twenty-six".