3201312000 has 144 divisors (see below), whose sum is σ = 10633476672. Its totient is φ = 853657600.

The previous prime is 3201311959. The next prime is 3201312073. The reversal of 3201312000 is 2131023.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79327 + ... + 112673.

It is an arithmetic number, because the mean of its divisors is an integer number (73843588).

Almost surely, 2^3201312000 is an apocalyptic number.

3201312000 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 3201312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316738336).

3201312000 is an abundant number, since it is smaller than the sum of its proper divisors (7432164672).

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

3201312000 is an equidigital number, since it uses as much as digits as its factorization.

3201312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33381 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3201312000 is about 56580.1378577324. The cubic root of 3201312000 is about 1473.8139656605.

Adding to 3201312000 its reverse (2131023), we get a palindrome (3203443023).

The spelling of 3201312000 in words is "three billion, two hundred one million, three hundred twelve thousand".