32274000 has 240 divisors, whose sum is σ = 123724224. Its totient is φ = 7776000.

The previous prime is 32273999. The next prime is 32274001. The reversal of 32274000 is 47223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32273999) and next prime (32274001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×32274000² = 2083222152000000, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32274001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 197919 + ... + 198081.

Almost surely, 2^32274000 is an apocalyptic number.

32274000 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 32274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61862112).

32274000 is an abundant number, since it is smaller than the sum of its proper divisors (91450224).

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

32274000 is a wasteful number, since it uses less digits than its factorization.

32274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 32274000 is about 5681.0210349901. The cubic root of 32274000 is about 318.3837777818.

It can be divided in two parts, 3227 and 4000, that added together give a palindrome (7227).

The spelling of 32274000 in words is "thirty-two million, two hundred seventy-four thousand".