3243134400 has 336 divisors, whose sum is σ = 11701393920. Its totient is φ = 779878400.

The previous prime is 3243134393. The next prime is 3243134407. The reversal of 3243134400 is 44313423.

It is an interprime number because it is at equal distance from previous prime (3243134393) and next prime (3243134407).

It is a super-3 number, since 3×3243134400³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12619072 + ... + 12619328.

Almost surely, 2^3243134400 is an apocalyptic number.

3243134400 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 3243134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850696960).

3243134400 is an abundant number, since it is smaller than the sum of its proper divisors (8458259520).

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

3243134400 is a wasteful number, since it uses less digits than its factorization.

3243134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3243134400 is about 56948.5241248621. The cubic root of 3243134400 is about 1480.2042571753.

Adding to 3243134400 its reverse (44313423), we get a palindrome (3287447823).

The spelling of 3243134400 in words is "three billion, two hundred forty-three million, one hundred thirty-four thousand, four hundred".