3380040 has 96 divisors (see below), whose sum is σ = 11302200. Its totient is φ = 875520.

The previous prime is 3380033. The next prime is 3380089. The reversal of 3380040 is 400833.

It can be written as a sum of positive squares in 4 ways, for example, as 2643876 + 736164 = 1626^2 + 858^2 .

It is a super-2 number, since 2×3380040² = 22849340803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3379995 and 3380022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14646 + ... + 14874.

Almost surely, 2^3380040 is an apocalyptic number.

3380040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651100).

3380040 is an abundant number, since it is smaller than the sum of its proper divisors (7922160).

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

3380040 is a wasteful number, since it uses less digits than its factorization.

3380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3380040 is about 1838.4885096187. The cubic root of 3380040 is about 150.0746295301.

Adding to 3380040 its reverse (400833), we get a palindrome (3780873).

The spelling of 3380040 in words is "three million, three hundred eighty thousand, forty".