3249000 has 144 divisors (see below), whose sum is σ = 11590020. Its totient is φ = 820800.

The previous prime is 3248977. The next prime is 3249013. The reversal of 3249000 is 9423.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 1052676 = 1482^2 + 1026^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170991 + ... + 171009.

Almost surely, 2^3249000 is an apocalyptic number.

3249000 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 3249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795010).

3249000 is an abundant number, since it is smaller than the sum of its proper divisors (8341020).

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

3249000 is a wasteful number, since it uses less digits than its factorization.

3249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3249000 is about 1802.4982662960. The cubic root of 3249000 is about 148.1096095744.

The spelling of 3249000 in words is "three million, two hundred forty-nine thousand".