3270400 has 108 divisors (see below), whose sum is σ = 9377872. Its totient is φ = 1105920.

The previous prime is 3270383. The next prime is 3270419. The reversal of 3270400 is 40723.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44764 + ... + 44836.

Almost surely, 2^3270400 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 3270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688936).

3270400 is an abundant number, since it is smaller than the sum of its proper divisors (6107472).

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

3270400 is an equidigital number, since it uses as much as digits as its factorization.

3270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 3270400 is about 1808.4247288732. The cubic root of 3270400 is about 148.4340798843.

The spelling of 3270400 in words is "three million, two hundred seventy thousand, four hundred".