3375280 has 40 divisors (see below), whose sum is σ = 8106624. Its totient is φ = 1305600.

The previous prime is 3375257. The next prime is 3375287. The reversal of 3375280 is 825733.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3375280² = 22785030156800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3375287) 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, 1800 + ... + 3160.

Almost surely, 2^3375280 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 3375280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053312).

3375280 is an abundant number, since it is smaller than the sum of its proper divisors (4731344).

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

3375280 is a wasteful number, since it uses less digits than its factorization.

3375280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

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

The square root of 3375280 is about 1837.1935118544. The cubic root of 3375280 is about 150.0041480334.

It can be divided in two parts, 3375 and 280, that added together give a triangular number (3655 = T₈₅).

The spelling of 3375280 in words is "three million, three hundred seventy-five thousand, two hundred eighty".