32280200400 has 360 divisors, whose sum is σ = 120842444160. Its totient is φ = 7344261120.

The previous prime is 32280200383. The next prime is 32280200429. The reversal of 32280200400 is 400208223.

It is a super-2 number, since 2×32280200400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 14052052 + ... + 14054348.

It is an arithmetic number, because the mean of its divisors is an integer number (335673456).

Almost surely, 2^32280200400 is an apocalyptic number.

32280200400 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 32280200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60421222080).

32280200400 is an abundant number, since it is smaller than the sum of its proper divisors (88562243760).

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

32280200400 is a wasteful number, since it uses less digits than its factorization.

32280200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 32280200400 its reverse (400208223), we get a palindrome (32680408623).

The spelling of 32280200400 in words is "thirty-two billion, two hundred eighty million, two hundred thousand, four hundred".