3376960 has 56 divisors (see below), whose sum is σ = 8220456. Its totient is φ = 1320960.

The previous prime is 3376949. The next prime is 3376969. The reversal of 3376960 is 696733.

It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 3154176 = 472^2 + 1776^2 .

It is a super-2 number, since 2×3376960² = 22807717683200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3376969) 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, 19434 + ... + 19606.

Almost surely, 2^3376960 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 3376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110228).

3376960 is an abundant number, since it is smaller than the sum of its proper divisors (4843496).

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

3376960 is a wasteful number, since it uses less digits than its factorization.

3376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 34.

The square root of 3376960 is about 1837.6506740945. The cubic root of 3376960 is about 150.0290314179.

The spelling of 3376960 in words is "three million, three hundred seventy-six thousand, nine hundred sixty".