3283880 has 32 divisors (see below), whose sum is σ = 7533000. Its totient is φ = 1287936.

The previous prime is 3283879. The next prime is 3283897. The reversal of 3283880 is 883823.

It can be written as a sum of positive squares in 4 ways, for example, as 2709316 + 574564 = 1646^2 + 758^2 .

It is a plaindrome in base 12.

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, 1346 + ... + 2894.

Almost surely, 2^3283880 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 3283880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766500).

3283880 is an abundant number, since it is smaller than the sum of its proper divisors (4249120).

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

3283880 is a wasteful number, since it uses less digits than its factorization.

3283880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 3283880 is about 1812.1478968340. The cubic root of 3283880 is about 148.6377398413.

The spelling of 3283880 in words is "three million, two hundred eighty-three thousand, eight hundred eighty".