3001253200 has 120 divisors (see below), whose sum is σ = 7885120320. Its totient is φ = 1088716800.

The previous prime is 3001253159. The next prime is 3001253201. The reversal of 3001253200 is 23521003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001253201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3383157 + ... + 3384043.

It is an arithmetic number, because the mean of its divisors is an integer number (65709336).

Almost surely, 2^3001253200 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 3001253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942560160).

3001253200 is an abundant number, since it is smaller than the sum of its proper divisors (4883867120).

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

3001253200 is a wasteful number, since it uses less digits than its factorization.

3001253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3001253200 is about 54783.6946545229. The cubic root of 3001253200 is about 1442.4503675903.

Adding to 3001253200 its reverse (23521003), we get a palindrome (3024774203).

The spelling of 3001253200 in words is "three billion, one million, two hundred fifty-three thousand, two hundred".