3251151200 has 144 divisors (see below), whose sum is σ = 9035421696. Its totient is φ = 1130764800.

The previous prime is 3251151139. The next prime is 3251151229. The reversal of 3251151200 is 21511523.

It is a happy number.

It is a super-2 number, since 2×3251151200² = 21139968250522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194369 + ... + 210431.

It is an arithmetic number, because the mean of its divisors is an integer number (62745984).

Almost surely, 2^3251151200 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 3251151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517710848).

3251151200 is an abundant number, since it is smaller than the sum of its proper divisors (5784270496).

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

3251151200 is a wasteful number, since it uses less digits than its factorization.

3251151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16117 (or 16104 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 3251151200 is about 57018.8670529326. The cubic root of 3251151200 is about 1481.4229071718.

Adding to 3251151200 its reverse (21511523), we get a palindrome (3272662723).

It can be divided in two parts, 3251 and 151200, that added together give a palindrome (154451).

The spelling of 3251151200 in words is "three billion, two hundred fifty-one million, one hundred fifty-one thousand, two hundred".