3216000 has 128 divisors (see below), whose sum is σ = 10820160. Its totient is φ = 844800.

The previous prime is 3215983. The next prime is 3216007. The reversal of 3216000 is 6123.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (3216007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47967 + ... + 48033.

Almost surely, 2^3216000 is an apocalyptic number.

3216000 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 3216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410080).

3216000 is an abundant number, since it is smaller than the sum of its proper divisors (7604160).

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

3216000 is an equidigital number, since it uses as much as digits as its factorization.

3216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

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

The square root of 3216000 is about 1793.3209417168. The cubic root of 3216000 is about 147.6064538420.

It can be divided in two parts, 32 and 16000, that multiplied together give a cube (512000 = 80³).

The spelling of 3216000 in words is "three million, two hundred sixteen thousand".