3303948 has 48 divisors (see below), whose sum is σ = 8328320. Its totient is φ = 1016064.

The previous prime is 3303893. The next prime is 3303953. The reversal of 3303948 is 8493033.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9636 + ... + 9972.

Almost surely, 2^3303948 is an apocalyptic number.

3303948 is a gapful number since it is divisible by the number (38) 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 3303948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164160).

3303948 is an abundant number, since it is smaller than the sum of its proper divisors (5024372).

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

3303948 is a wasteful number, since it uses less digits than its factorization.

3303948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3303948 is about 1817.6765388814. The cubic root of 3303948 is about 148.9399033952.

It can be divided in two parts, 330 and 3948, that added together give a triangular number (4278 = T₉₂).

The spelling of 3303948 in words is "three million, three hundred three thousand, nine hundred forty-eight".