3217920 has 80 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 856064.

The previous prime is 3217891. The next prime is 3217931. The reversal of 3217920 is 297123.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 7471 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

Almost surely, 2^3217920 is an apocalyptic number.

3217920 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 3217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

3217920 is an abundant number, since it is smaller than the sum of its proper divisors (7093920).

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

3217920 is an equidigital number, since it uses as much as digits as its factorization.

3217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

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

The square root of 3217920 is about 1793.8561815263. The cubic root of 3217920 is about 147.6358224169.

The spelling of 3217920 in words is "three million, two hundred seventeen thousand, nine hundred twenty".