3549287948544 has 864 divisors, whose sum is σ = 12506897055744. Its totient is φ = 956470394880.

The previous prime is 3549287948539. The next prime is 3549287948551. The reversal of 3549287948544 is 4458497829453.

3549287948544 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 2 + 8 + 79 + 4 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433311489 + ... + 433319679.

It is an arithmetic number, because the mean of its divisors is an integer number (14475575296).

Almost surely, 2^{3549287948544} is an apocalyptic number.

3549287948544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3549287948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253448527872).

3549287948544 is an abundant number, since it is smaller than the sum of its proper divisors (8957609107200).

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

3549287948544 is a wasteful number, since it uses less digits than its factorization.

3549287948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8286 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 3549287948544 in words is "three trillion, five hundred forty-nine billion, two hundred eighty-seven million, nine hundred forty-eight thousand, five hundred forty-four".