3251230400 has 336 divisors, whose sum is σ = 9252264960. Its totient is φ = 1113600000.

The previous prime is 3251230373. The next prime is 3251230403. The reversal of 3251230400 is 40321523.

It is a happy number.

It is a super-2 number, since 2×3251230400² = 21140998227768320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3251230403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32190350 + ... + 32190450.

Almost surely, 2^3251230400 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 3251230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626132480).

3251230400 is an abundant number, since it is smaller than the sum of its proper divisors (6001034560).

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

3251230400 is a wasteful number, since it uses less digits than its factorization.

3251230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3251230400 is about 57019.5615556626. The cubic root of 3251230400 is about 1481.4349365253.

Adding to 3251230400 its reverse (40321523), we get a palindrome (3291551923).

The spelling of 3251230400 in words is "three billion, two hundred fifty-one million, two hundred thirty thousand, four hundred".