364134400 has 180 divisors, whose sum is σ = 1040155648. Its totient is φ = 123863040.

The previous prime is 364134389. The next prime is 364134403. The reversal of 364134400 is 4431463.

It is a happy number.

It is a super-2 number, since 2×364134400² = 265187722526720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364134403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2867137 + ... + 2867263.

Almost surely, 2^364134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520077824).

364134400 is an abundant number, since it is smaller than the sum of its proper divisors (676021248).

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

364134400 is an equidigital number, since it uses as much as digits as its factorization.

364134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 364134400 is about 19082.3059403207. The cubic root of 364134400 is about 714.0915647569.

Adding to 364134400 its reverse (4431463), we get a palindrome (368565863).

The spelling of 364134400 in words is "three hundred sixty-four million, one hundred thirty-four thousand, four hundred".