3305772 has 72 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 1038096.

The previous prime is 3305761. The next prime is 3305777. The reversal of 3305772 is 2775033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3305777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18379 + ... + 18557.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

Almost surely, 2^3305772 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 3305772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

3305772 is an abundant number, since it is smaller than the sum of its proper divisors (5867028).

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

3305772 is a wasteful number, since it uses less digits than its factorization.

3305772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 3305772 is about 1818.1782090873. The cubic root of 3305772 is about 148.9673066116.

The spelling of 3305772 in words is "three million, three hundred five thousand, seven hundred seventy-two".