3455521106900 has 36 divisors (see below), whose sum is σ = 7515181302300. Its totient is φ = 1379130009600.

The previous prime is 3455521106867. The next prime is 3455521106909. The reversal of 3455521106900 is 96011255543.

3455521106900 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 6 ways, for example, as 7168670224 + 3448352436676 = 84668^2 + 1856974^2 .

It is a super-2 number, since 2×3455521106900² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455521106909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38435291 + ... + 38525090.

It is an arithmetic number, because the mean of its divisors is an integer number (208755036175).

Almost surely, 2^{3455521106900} is an apocalyptic number.

It is an amenable number.

3455521106900 is an abundant number, since it is smaller than the sum of its proper divisors (4059660195400).

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

3455521106900 is a wasteful number, since it uses less digits than its factorization.

3455521106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76960844 (or 76960837 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 3455521106900 in words is "three trillion, four hundred fifty-five billion, five hundred twenty-one million, one hundred six thousand, nine hundred".