3544251120 has 320 divisors, whose sum is σ = 13010595840. Its totient is φ = 883740672.

The previous prime is 3544251083. The next prime is 3544251121. The reversal of 3544251120 is 211524453.

3544251120 is a `hidden beast` number, since 3 + 544 + 2 + 5 + 112 + 0 = 666.

3544251120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3544251121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9657177 + ... + 9657543.

It is an arithmetic number, because the mean of its divisors is an integer number (40658112).

Almost surely, 2^3544251120 is an apocalyptic number.

3544251120 is a gapful number since it is divisible by the number (30) 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 3544251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505297920).

3544251120 is an abundant number, since it is smaller than the sum of its proper divisors (9466344720).

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

3544251120 is a wasteful number, since it uses less digits than its factorization.

3544251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3544251120 is about 59533.6133625366. The cubic root of 3544251120 is about 1524.6663958975. Note that the first 3 decimals are identical.

Adding to 3544251120 its reverse (211524453), we get a palindrome (3755775573).

The spelling of 3544251120 in words is "three billion, five hundred forty-four million, two hundred fifty-one thousand, one hundred twenty".