3200214000 has 160 divisors (see below), whose sum is σ = 10569948480. Its totient is φ = 832512000.

The previous prime is 3200213981. The next prime is 3200214007. The reversal of 3200214000 is 4120023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200214007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239496 + ... + 252504.

It is an arithmetic number, because the mean of its divisors is an integer number (66062178).

Almost surely, 2^3200214000 is an apocalyptic number.

3200214000 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 3200214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284974240).

3200214000 is an abundant number, since it is smaller than the sum of its proper divisors (7369734480).

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

3200214000 is a wasteful number, since it uses less digits than its factorization.

3200214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13076 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3200214000 is about 56570.4339739408. The cubic root of 3200214000 is about 1473.6454480048.

Adding to 3200214000 its reverse (4120023), we get a palindrome (3204334023).

The spelling of 3200214000 in words is "three billion, two hundred million, two hundred fourteen thousand".