3549247664960 has 224 divisors, whose sum is σ = 8779644518400. Its totient is φ = 1365210040320.

The previous prime is 3549247664899. The next prime is 3549247664969. The reversal of 3549247664960 is 694667429453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3549247664969) 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, 1334804111 + ... + 1334806769.

It is an arithmetic number, because the mean of its divisors is an integer number (39194841600).

Almost surely, 2^{3549247664960} 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 3549247664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389822259200).

3549247664960 is an abundant number, since it is smaller than the sum of its proper divisors (5230396853440).

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

3549247664960 is a wasteful number, since it uses less digits than its factorization.

3549247664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 65.

The spelling of 3549247664960 in words is "three trillion, five hundred forty-nine billion, two hundred forty-seven million, six hundred sixty-four thousand, nine hundred sixty".