3445300320 has 576 divisors, whose sum is σ = 14125321728. Its totient is φ = 685670400.

The previous prime is 3445300319. The next prime is 3445300337. The reversal of 3445300320 is 230035443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35518512 + ... + 35518608.

It is an arithmetic number, because the mean of its divisors is an integer number (24523128).

Almost surely, 2^3445300320 is an apocalyptic number.

3445300320 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 3445300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062660864).

3445300320 is an abundant number, since it is smaller than the sum of its proper divisors (10680021408).

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

3445300320 is a wasteful number, since it uses less digits than its factorization.

3445300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3445300320 is about 58696.6806557236. The cubic root of 3445300320 is about 1510.3433746831.

Adding to 3445300320 its reverse (230035443), we get a palindrome (3675335763).

It can be divided in two parts, 34 and 45300320, that added together give a palindrome (45300354).

The spelling of 3445300320 in words is "three billion, four hundred forty-five million, three hundred thousand, three hundred twenty".