3544789248 has 864 divisors, whose sum is σ = 14463671040. Its totient is φ = 805109760.

The previous prime is 3544789247. The next prime is 3544789249. The reversal of 3544789248 is 8429874453.

3544789248 is a `hidden beast` number, since 3 + 544 + 7 + 8 + 92 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3544789247) and next prime (3544789249).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (7741440) is a multiple of the sum of its prime factors (135).

It is a junction number, because it is equal to n+sod(n) for n = 3544789194 and 3544789203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3544789247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66882790 + ... + 66882842.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 2^3544789248 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 3544789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231835520).

3544789248 is an abundant number, since it is smaller than the sum of its proper divisors (10918881792).

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

3544789248 is a wasteful number, since it uses less digits than its factorization.

3544789248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3544789248 is about 59538.1327218112. The cubic root of 3544789248 is about 1524.7435559830.

The spelling of 3544789248 in words is "three billion, five hundred forty-four million, seven hundred eighty-nine thousand, two hundred forty-eight".