3544874012160 has 640 divisors, whose sum is σ = 13891162158720. Its totient is φ = 851292979200.

The previous prime is 3544874012159. The next prime is 3544874012167. The reversal of 3544874012160 is 612104784453.

3544874012160 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 87 + 401 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3544874012160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3544874012167) 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, 36792850 + ... + 36889070.

It is an arithmetic number, because the mean of its divisors is an integer number (21704940873).

Almost surely, 2^{3544874012160} is an apocalyptic number.

3544874012160 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 3544874012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945581079360).

3544874012160 is an abundant number, since it is smaller than the sum of its proper divisors (10346288146560).

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

3544874012160 is a wasteful number, since it uses less digits than its factorization.

3544874012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96307 (or 96285 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3544874012160 in words is "three trillion, five hundred forty-four billion, eight hundred seventy-four million, twelve thousand, one hundred sixty".