327134400 has 336 divisors, whose sum is σ = 1201887360. Its totient is φ = 77414400.

The previous prime is 327134387. The next prime is 327134407. The reversal of 327134400 is 4431723.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (327134407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550295 + ... + 1550505.

Almost surely, 2^327134400 is an apocalyptic number.

327134400 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 327134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600943680).

327134400 is an abundant number, since it is smaller than the sum of its proper divisors (874752960).

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

327134400 is a wasteful number, since it uses less digits than its factorization.

327134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 327134400 is about 18086.8571067502. The cubic root of 327134400 is about 689.0362516675.

The spelling of 327134400 in words is "three hundred twenty-seven million, one hundred thirty-four thousand, four hundred".