3544981440 has 1344 divisors, whose sum is σ = 16812085248. Its totient is φ = 619315200.

The previous prime is 3544981403. The next prime is 3544981463. The reversal of 3544981440 is 441894453.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3544981392 and 3544981401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114354225 + ... + 114354255.

It is an arithmetic number, because the mean of its divisors is an integer number (12508992).

Almost surely, 2^3544981440 is an apocalyptic number.

3544981440 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 3544981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406042624).

3544981440 is an abundant number, since it is smaller than the sum of its proper divisors (13267103808).

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

3544981440 is a wasteful number, since it uses less digits than its factorization.

3544981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3544981440 is about 59539.7467243521. The cubic root of 3544981440 is about 1524.7711117554.

The spelling of 3544981440 in words is "three billion, five hundred forty-four million, nine hundred eighty-one thousand, four hundred forty".