3337960 has 16 divisors (see below), whose sum is σ = 7510500. Its totient is φ = 1335168.

The previous prime is 3337951. The next prime is 3337969. The reversal of 3337960 is 697333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3337951) and next prime (3337969).

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 289444 = 1746^2 + 538^2 .

It is a super-2 number, since 2×3337960² = 22283953923200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41685 + ... + 41764.

Almost surely, 2^3337960 is an apocalyptic number.

It is an amenable number.

3337960 is an abundant number, since it is smaller than the sum of its proper divisors (4172540).

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

3337960 is a wasteful number, since it uses less digits than its factorization.

3337960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83460 (or 83456 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 3337960 is about 1827.0084838336. The cubic root of 3337960 is about 149.4492394867.

Subtracting from 3337960 its sum of digits (31), we obtain a square (3337929 = 1827²).

The spelling of 3337960 in words is "three million, three hundred thirty-seven thousand, nine hundred sixty".