3445522600 has 192 divisors, whose sum is σ = 9217378800. Its totient is φ = 1186529280.

The previous prime is 3445522589. The next prime is 3445522607. The reversal of 3445522600 is 62255443.

It can be written as a sum of positive squares in 24 ways, for example, as 360164484 + 3085358116 = 18978^2 + 55546^2 .

It is a super-2 number, since 2×3445522600² = 23743251974221520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3445522607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6055116 + ... + 6055684.

Almost surely, 2^3445522600 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 3445522600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608689400).

3445522600 is an abundant number, since it is smaller than the sum of its proper divisors (5771856200).

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

3445522600 is a wasteful number, since it uses less digits than its factorization.

3445522600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 3445522600 is about 58698.5740883030. The cubic root of 3445522600 is about 1510.3758548613.

The spelling of 3445522600 in words is "three billion, four hundred forty-five million, five hundred twenty-two thousand, six hundred".