3249840 has 80 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 787200.

The previous prime is 3249833. The next prime is 3249847. The reversal of 3249840 is 489423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3249833) and next prime (3249847).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3249840² = 21122920051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3249798 and 3249807.

It is not an unprimeable number, because it can be changed into a prime (3249847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025 + ... + 3255.

Almost surely, 2^3249840 is an apocalyptic number.

3249840 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 3249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

3249840 is an abundant number, since it is smaller than the sum of its proper divisors (7749456).

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

3249840 is a wasteful number, since it uses less digits than its factorization.

3249840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3249840 is about 1802.7312611701. The cubic root of 3249840 is about 148.1223726145.

The spelling of 3249840 in words is "three million, two hundred forty-nine thousand, eight hundred forty".