3361280 has 80 divisors (see below), whose sum is σ = 8765064. Its totient is φ = 1228800.

The previous prime is 3361273. The next prime is 3361297. The reversal of 3361280 is 821633.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 430336 = 1712^2 + 656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3361280² = 22596406476800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33230 + ... + 33330.

Almost surely, 2^3361280 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 3361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382532).

3361280 is an abundant number, since it is smaller than the sum of its proper divisors (5403784).

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

3361280 is a wasteful number, since it uses less digits than its factorization.

3361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3361280 is about 1833.3793933608. The cubic root of 3361280 is about 149.7964646882.

The spelling of 3361280 in words is "three million, three hundred sixty-one thousand, two hundred eighty".