3955444768900 has 81 divisors (see below), whose sum is σ = 9118695534319. Its totient is φ = 1488981333760.

The previous prime is 3955444768889. The next prime is 3955444768909. The reversal of 3955444768900 is 98674445593.

The square root of 3955444768900 is 1988830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92521822276 + 3862922946624 = 304174^2 + 1965432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3955444768909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338095251 + ... + 338106949.

Almost surely, 2^{3955444768900} is an apocalyptic number.

3955444768900 is the 1988830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3955444768900

3955444768900 is an abundant number, since it is smaller than the sum of its proper divisors (5163250765419).

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

3955444768900 is an equidigital number, since it uses as much as digits as its factorization.

3955444768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23446 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

Multiplying 3955444768900 by its sum of digits (64), we get a square (253148465209600 = 15910640²).

The spelling of 3955444768900 in words is "three trillion, nine hundred fifty-five billion, four hundred forty-four million, seven hundred sixty-eight thousand, nine hundred".