3232416000 has 288 divisors, whose sum is σ = 11716338816. Its totient is φ = 783360000.

The previous prime is 3232415987. The next prime is 3232416007. The reversal of 3232416000 is 6142323.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232416007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054470 + ... + 1057530.

It is an arithmetic number, because the mean of its divisors is an integer number (40681732).

Almost surely, 2^3232416000 is an apocalyptic number.

3232416000 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 3232416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858169408).

3232416000 is an abundant number, since it is smaller than the sum of its proper divisors (8483922816).

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

3232416000 is a wasteful number, since it uses less digits than its factorization.

3232416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3232416000 is about 56854.3402037171. The cubic root of 3232416000 is about 1478.5717899733.

Adding to 3232416000 its reverse (6142323), we get a palindrome (3238558323).

The spelling of 3232416000 in words is "three billion, two hundred thirty-two million, four hundred sixteen thousand".