3224432400 has 480 divisors, whose sum is σ = 12340162560. Its totient is φ = 704471040.

The previous prime is 3224432383. The next prime is 3224432417. The reversal of 3224432400 is 42344223.

It is an interprime number because it is at equal distance from previous prime (3224432383) and next prime (3224432417).

It is a super-3 number, since 3×3224432400³ (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28534744 + ... + 28534856.

It is an arithmetic number, because the mean of its divisors is an integer number (25708672).

Almost surely, 2^3224432400 is an apocalyptic number.

3224432400 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 3224432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170081280).

3224432400 is an abundant number, since it is smaller than the sum of its proper divisors (9115730160).

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

3224432400 is a wasteful number, since it uses less digits than its factorization.

3224432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3224432400 is about 56784.0857987517. The cubic root of 3224432400 is about 1477.3535002663.

Adding to 3224432400 its reverse (42344223), we get a palindrome (3266776623).

The spelling of 3224432400 in words is "three billion, two hundred twenty-four million, four hundred thirty-two thousand, four hundred".