3272400 has 150 divisors (see below), whose sum is σ = 11860662. Its totient is φ = 864000.

The previous prime is 3272387. The next prime is 3272419. The reversal of 3272400 is 42723.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 2396304 = 936^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32350 + ... + 32450.

Almost surely, 2^3272400 is an apocalyptic number.

3272400 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 3272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930331).

3272400 is an abundant number, since it is smaller than the sum of its proper divisors (8588262).

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

3272400 is a wasteful number, since it uses less digits than its factorization.

3272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3272400 is about 1808.9776118018. The cubic root of 3272400 is about 148.4643318070.

The spelling of 3272400 in words is "three million, two hundred seventy-two thousand, four hundred".