3216400 has 120 divisors (see below), whose sum is σ = 9133344. Its totient is φ = 1075200.

The previous prime is 3216359. The next prime is 3216403. The reversal of 3216400 is 46123.

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

It is not an unprimeable number, because it can be changed into a prime (3216403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74779 + ... + 74821.

Almost surely, 2^3216400 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 3216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566672).

3216400 is an abundant number, since it is smaller than the sum of its proper divisors (5916944).

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

3216400 is a wasteful number, since it uses less digits than its factorization.

3216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

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

The square root of 3216400 is about 1793.4324631834. The cubic root of 3216400 is about 147.6125732588.

It can be divided in two parts, 32 and 16400, that multiplied together give a triangular number (524800 = T₁₀₂₄).

The spelling of 3216400 in words is "three million, two hundred sixteen thousand, four hundred".