3201600 has 168 divisors, whose sum is σ = 11338560. Its totient is φ = 788480.

The previous prime is 3201589. The next prime is 3201617. The reversal of 3201600 is 61023.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110386 + ... + 110414.

Almost surely, 2^3201600 is an apocalyptic number.

3201600 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 3201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669280).

3201600 is an abundant number, since it is smaller than the sum of its proper divisors (8136960).

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

3201600 is a wasteful number, since it uses less digits than its factorization.

3201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 62 counting only the distinct ones).

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

The square root of 3201600 is about 1789.3015397076. The cubic root of 3201600 is about 147.3858160634.

Adding to 3201600 its reverse (61023), we get a palindrome (3262623).

It can be divided in two parts, 320 and 1600, that multiplied together give a cube (512000 = 80³).

The spelling of 3201600 in words is "three million, two hundred one thousand, six hundred".