3544104960 has 720 divisors, whose sum is σ = 14721557760. Its totient is φ = 778567680.

The previous prime is 3544104953. The next prime is 3544104997. The reversal of 3544104960 is 694014453.

3544104960 is a `hidden beast` number, since 3 + 544 + 10 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154091509 + ... + 154091531.

It is an arithmetic number, because the mean of its divisors is an integer number (20446608).

Almost surely, 2^3544104960 is an apocalyptic number.

3544104960 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 3544104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360778880).

3544104960 is an abundant number, since it is smaller than the sum of its proper divisors (11177452800).

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

3544104960 is a wasteful number, since it uses less digits than its factorization.

3544104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3544104960 is about 59532.3858080625. The cubic root of 3544104960 is about 1524.6454372337.

The spelling of 3544104960 in words is "three billion, five hundred forty-four million, one hundred four thousand, nine hundred sixty".