3231224630400 has 384 divisors, whose sum is σ = 11606644627200. Its totient is φ = 785307893760.

The previous prime is 3231224630323. The next prime is 3231224630443. The reversal of 3231224630400 is 40364221323.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3231224630400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9695332 + ... + 10023068.

It is an arithmetic number, because the mean of its divisors is an integer number (30225637050).

Almost surely, 2^{3231224630400} is an apocalyptic number.

3231224630400 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 3231224630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803322313600).

3231224630400 is an abundant number, since it is smaller than the sum of its proper divisors (8375419996800).

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

3231224630400 is a wasteful number, since it uses less digits than its factorization.

3231224630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327856 (or 327839 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3231224630400 its reverse (40364221323), we get a palindrome (3271588851723).

The spelling of 3231224630400 in words is "three trillion, two hundred thirty-one billion, two hundred twenty-four million, six hundred thirty thousand, four hundred".