3643214000 has 80 divisors (see below), whose sum is σ = 8826744576. Its totient is φ = 1454400000.

The previous prime is 3643213999. The next prime is 3643214009. The reversal of 3643214000 is 4123463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3643214000³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3643214009) 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 15 ways as a sum of consecutive naturals, for example, 1212500 + ... + 1215500.

Almost surely, 2^3643214000 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 3643214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413372288).

3643214000 is an abundant number, since it is smaller than the sum of its proper divisors (5183530576).

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

3643214000 is a wasteful number, since it uses less digits than its factorization.

3643214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3643214000 is about 60359.0424045975. The cubic root of 3643214000 is about 1538.7269515164.

Adding to 3643214000 its reverse (4123463), we get a palindrome (3647337463).

The spelling of 3643214000 in words is "three billion, six hundred forty-three million, two hundred fourteen thousand".