3755409900544 has 99 divisors (see below), whose sum is σ = 7850723218093. Its totient is φ = 1795383468032.

The previous prime is 3755409900491. The next prime is 3755409900601. The reversal of 3755409900544 is 4450099045573.

The square root of 3755409900544 is 1937888.

It is a perfect power (a square), and thus also a powerful number.

3755409900544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 614405145600 + 3141004754944 = 783840^2 + 1772288^2 .

It is a super-2 number, since 2×3755409900544² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1426284252 + ... + 1426286884.

Almost surely, 2^{3755409900544} is an apocalyptic number.

3755409900544 is the 1937888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3755409900544

3755409900544 is an abundant number, since it is smaller than the sum of its proper divisors (4095313317549).

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

3755409900544 is an frugal number, since it uses more digits than its factorization.

3755409900544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 3755409900544 in words is "three trillion, seven hundred fifty-five billion, four hundred nine million, nine hundred thousand, five hundred forty-four".