3548876544 has 288 divisors, whose sum is σ = 11253446400. Its totient is φ = 1099837440.

The previous prime is 3548876519. The next prime is 3548876549. The reversal of 3548876544 is 4456788453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3548876544³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3548876549) 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, 8010787 + ... + 8011229.

Almost surely, 2^3548876544 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 3548876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626723200).

3548876544 is an abundant number, since it is smaller than the sum of its proper divisors (7704569856).

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

3548876544 is a wasteful number, since it uses less digits than its factorization.

3548876544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 528 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 3548876544 is about 59572.4478597279. The cubic root of 3548876544 is about 1525.3293627404.

The spelling of 3548876544 in words is "three billion, five hundred forty-eight million, eight hundred seventy-six thousand, five hundred forty-four".