3219840 has 192 divisors, whose sum is σ = 12252240. Its totient is φ = 774144.

The previous prime is 3219787. The next prime is 3219847. The reversal of 3219840 is 489123.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3219847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74859 + ... + 74901.

Almost surely, 2^3219840 is an apocalyptic number.

3219840 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 3219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126120).

3219840 is an abundant number, since it is smaller than the sum of its proper divisors (9032400).

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

3219840 is a wasteful number, since it uses less digits than its factorization.

3219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3219840 is about 1794.3912616818. The cubic root of 3219840 is about 147.6651793122.

The spelling of 3219840 in words is "three million, two hundred nineteen thousand, eight hundred forty".