3219072 has 64 divisors (see below), whose sum is σ = 8739360. Its totient is φ = 1049600.

The previous prime is 3219067. The next prime is 3219107. The reversal of 3219072 is 2709123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31822 + ... + 31922.

Almost surely, 2^3219072 is an apocalyptic number.

3219072 is a gapful number since it is divisible by the number (32) 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 3219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369680).

3219072 is an abundant number, since it is smaller than the sum of its proper divisors (5520288).

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

3219072 is a wasteful number, since it uses less digits than its factorization.

3219072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 3219072 is about 1794.1772487689. The cubic root of 3219072 is about 147.6534379549.

The spelling of 3219072 in words is "three million, two hundred nineteen thousand, seventy-two".