3358720 has 60 divisors (see below), whose sum is σ = 8257284. Its totient is φ = 1310720.

The previous prime is 3358703. The next prime is 3358723. The reversal of 3358720 is 278533.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 2768896 = 768^2 + 1664^2 .

It is a super-2 number, since 2×3358720² = 22562000076800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3358723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81900 + ... + 81940.

Almost surely, 2^3358720 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 3358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128642).

3358720 is an abundant number, since it is smaller than the sum of its proper divisors (4898564).

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

3358720 is an frugal number, since it uses more digits than its factorization.

3358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3358720 is about 1832.6810960994. The cubic root of 3358720 is about 149.7584259703.

The spelling of 3358720 in words is "three million, three hundred fifty-eight thousand, seven hundred twenty".