3353728 has 64 divisors (see below), whose sum is σ = 8078400. Its totient is φ = 1354752.

The previous prime is 3353711. The next prime is 3353729. The reversal of 3353728 is 8273533.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3353728² = 22494982995968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3353728.

It is not an unprimeable number, because it can be changed into a prime (3353729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16926 + ... + 17122.

It is an arithmetic number, because the mean of its divisors is an integer number (126225).

Almost surely, 2^3353728 is an apocalyptic number.

3353728 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 3353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039200).

3353728 is an abundant number, since it is smaller than the sum of its proper divisors (4724672).

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

3353728 is a wasteful number, since it uses less digits than its factorization.

3353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 3353728 is about 1831.3186505903. The cubic root of 3353728 is about 149.6841948399.

The spelling of 3353728 in words is "three million, three hundred fifty-three thousand, seven hundred twenty-eight".