3544379741952 has 972 divisors, whose sum is σ = 13015104252696. Its totient is φ = 959083130880.

The previous prime is 3544379741893. The next prime is 3544379741977. The reversal of 3544379741952 is 2591479734453.

3544379741952 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 379 + 74 + 195 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×3544379741952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3544379741952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1100395702 + ... + 1100398922.

Almost surely, 2^{3544379741952} is an apocalyptic number.

3544379741952 is a gapful number since it is divisible by the number (32) 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 3544379741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507552126348).

3544379741952 is an abundant number, since it is smaller than the sum of its proper divisors (9470724510744).

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

3544379741952 is an equidigital number, since it uses as much as digits as its factorization.

3544379741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3252 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 3544379741952 in words is "three trillion, five hundred forty-four billion, three hundred seventy-nine million, seven hundred forty-one thousand, nine hundred fifty-two".