3231920 has 40 divisors (see below), whose sum is σ = 7633440. Its totient is φ = 1272320.

The previous prime is 3231883. The next prime is 3231931. The reversal of 3231920 is 291323.

3231920 = T₂₁₀ + T₂₁₁ + ... + T₃₀₅.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3231892 and 3231901.

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, 5396 + ... + 5964.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 2^3231920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3231920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816720).

3231920 is an abundant number, since it is smaller than the sum of its proper divisors (4401520).

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

3231920 is a wasteful number, since it uses less digits than its factorization.

3231920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3231920 is about 1797.7541544939. The cubic root of 3231920 is about 147.8496159328.

3231920 divided by its sum of digits (20) gives a triangular number (161596 = T₅₆₈).

The spelling of 3231920 in words is "three million, two hundred thirty-one thousand, nine hundred twenty".