32234400000 has 972 divisors, whose sum is σ = 131138958132. Its totient is φ = 7603200000.

The previous prime is 32234399999. The next prime is 32234400059. The reversal of 32234400000 is 443223.

32234400000 is a `hidden beast` number, since 3 + 223 + 440 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20173089024 + 12061310976 = 142032^2 + 109824^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 871199982 + ... + 871200018.

Almost surely, 2^32234400000 is an apocalyptic number.

32234400000 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 32234400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65569479066).

32234400000 is an abundant number, since it is smaller than the sum of its proper divisors (98904558132).

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

32234400000 is an equidigital number, since it uses as much as digits as its factorization.

32234400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 32234400000 its reverse (443223), we get a palindrome (32234843223).

It can be divided in two parts, 32234 and 400000, that added together give a palindrome (432234).

The spelling of 32234400000 in words is "thirty-two billion, two hundred thirty-four million, four hundred thousand".