3544195547952 has 640 divisors, whose sum is σ = 11094021722880. Its totient is φ = 1092798480384.

The previous prime is 3544195547909. The next prime is 3544195547987. The reversal of 3544195547952 is 2597455914453.

3544195547952 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 1 + 9 + 554 + 79 + 5 + 2 = 666.

It is a super-2 number, since 2×3544195547952² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3544195547952.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12794929638 + ... + 12794929914.

It is an arithmetic number, because the mean of its divisors is an integer number (17334408942).

Almost surely, 2^{3544195547952} 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 3544195547952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547010861440).

3544195547952 is an abundant number, since it is smaller than the sum of its proper divisors (7549826174928).

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

3544195547952 is a wasteful number, since it uses less digits than its factorization.

3544195547952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 593 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 3544195547952 in words is "three trillion, five hundred forty-four billion, one hundred ninety-five million, five hundred forty-seven thousand, nine hundred fifty-two".