32042400 has 216 divisors, whose sum is σ = 114367680. Its totient is φ = 7787520.

The previous prime is 32042363. The next prime is 32042411. The reversal of 32042400 is 424023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32042400.

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 35 ways as a sum of consecutive naturals, for example, 405561 + ... + 405639.

It is an arithmetic number, because the mean of its divisors is an integer number (529480).

Almost surely, 2^32042400 is an apocalyptic number.

32042400 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 32042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57183840).

32042400 is an abundant number, since it is smaller than the sum of its proper divisors (82325280).

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

32042400 is a wasteful number, since it uses less digits than its factorization.

32042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 32042400 is about 5660.6006748401. The cubic root of 32042400 is about 317.6203689348.

Adding to 32042400 its reverse (424023), we get a palindrome (32466423).

The spelling of 32042400 in words is "thirty-two million, forty-two thousand, four hundred".