3444250320 has 480 divisors, whose sum is σ = 14248016640. Its totient is φ = 727695360.

The previous prime is 3444250301. The next prime is 3444250321. The reversal of 3444250320 is 230524443.

It is a super-4 number, since 4×3444250320⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444250321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5226151 + ... + 5226809.

It is an arithmetic number, because the mean of its divisors is an integer number (29683368).

Almost surely, 2^3444250320 is an apocalyptic number.

3444250320 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 3444250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124008320).

3444250320 is an abundant number, since it is smaller than the sum of its proper divisors (10803766320).

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

3444250320 is a wasteful number, since it uses less digits than its factorization.

3444250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3444250320 is about 58687.7356864277. The cubic root of 3444250320 is about 1510.1899268433.

Adding to 3444250320 its reverse (230524443), we get a palindrome (3674774763).

The spelling of 3444250320 in words is "three billion, four hundred forty-four million, two hundred fifty thousand, three hundred twenty".