3445084800 has 576 divisors, whose sum is σ = 13074174360. Its totient is φ = 862617600.

The previous prime is 3445084787. The next prime is 3445084823. The reversal of 3445084800 is 84805443.

It can be written as a sum of positive squares in 12 ways, for example, as 283046976 + 3162037824 = 16824^2 + 56232^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56476770 + ... + 56476830.

Almost surely, 2^3445084800 is an apocalyptic number.

3445084800 is a gapful number since it is divisible by the number (30) 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 3445084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537087180).

3445084800 is an abundant number, since it is smaller than the sum of its proper divisors (9629089560).

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

3445084800 is a wasteful number, since it uses less digits than its factorization.

3445084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3445084800 is about 58694.8447480697. The cubic root of 3445084800 is about 1510.3118809610.

The spelling of 3445084800 in words is "three billion, four hundred forty-five million, eighty-four thousand, eight hundred".