3546806716248 has 128 divisors (see below), whose sum is σ = 9057752985600. Its totient is φ = 1157023440000.

The previous prime is 3546806716241. The next prime is 3546806716333. The reversal of 3546806716248 is 8426176086453.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3546806716191 and 3546806716200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546806716241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838288293 + ... + 838292523.

It is an arithmetic number, because the mean of its divisors is an integer number (70763695200).

Almost surely, 2^{3546806716248} 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 3546806716248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528876492800).

3546806716248 is an abundant number, since it is smaller than the sum of its proper divisors (5510946269352).

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

3546806716248 is a wasteful number, since it uses less digits than its factorization.

3546806716248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 3546806716248 in words is "three trillion, five hundred forty-six billion, eight hundred six million, seven hundred sixteen thousand, two hundred forty-eight".