3349728 has 48 divisors (see below), whose sum is σ = 9772560. Its totient is φ = 1116288.

The previous prime is 3349727. The next prime is 3349733. The reversal of 3349728 is 8279433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3349728² = 22441355347968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹³ + 3¹³ + 4⁶ + 9⁴ + 7⁶ + 2¹⁵ + 8 .

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3349692 and 3349701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349727) 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, 1075 + ... + 2802.

It is an arithmetic number, because the mean of its divisors is an integer number (203595).

Almost surely, 2^3349728 is an apocalyptic number.

It is an amenable number.

3349728 is an abundant number, since it is smaller than the sum of its proper divisors (6422832).

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

3349728 is a wasteful number, since it uses less digits than its factorization.

3349728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3882 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3349728 is about 1830.2262155264. The cubic root of 3349728 is about 149.6246615906.

The spelling of 3349728 in words is "three million, three hundred forty-nine thousand, seven hundred twenty-eight".