364012000 has 96 divisors (see below), whose sum is σ = 975802464. Its totient is φ = 132352000.

The previous prime is 364011983. The next prime is 364012027. The reversal of 364012000 is 210463.

It is a super-2 number, since 2×364012000² = 265009472288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 39864 + ... + 48136.

It is an arithmetic number, because the mean of its divisors is an integer number (10164609).

Almost surely, 2^364012000 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 364012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487901232).

364012000 is an abundant number, since it is smaller than the sum of its proper divisors (611790464).

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

364012000 is a wasteful number, since it uses less digits than its factorization.

364012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 364012000 is about 19079.0985111981. The cubic root of 364012000 is about 714.0115443004.

Adding to 364012000 its reverse (210463), we get a palindrome (364222463).

The spelling of 364012000 in words is "three hundred sixty-four million, twelve thousand".