3283380 has 144 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 774144.

The previous prime is 3283361. The next prime is 3283381. The reversal of 3283380 is 833823.

3283380 is a `hidden beast` number, since 3 + 283 + 380 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 318096 + 2965284 = 564^2 + 1722^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88722 + ... + 88758.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 2^3283380 is an apocalyptic number.

3283380 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 3283380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

3283380 is an abundant number, since it is smaller than the sum of its proper divisors (7920540).

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

3283380 is a wasteful number, since it uses less digits than its factorization.

3283380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3283380 is about 1812.0099337476. The cubic root of 3283380 is about 148.6301956514.

It can be divided in two parts, 3283 and 380, that added together give a palindrome (3663).

The spelling of 3283380 in words is "three million, two hundred eighty-three thousand, three hundred eighty".