3385440 has 72 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 902400.

The previous prime is 3385423. The next prime is 3385441. The reversal of 3385440 is 445833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3385440² = 22922407987200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^3385440 is an apocalyptic number.

3385440 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 3385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3385440 is an abundant number, since it is smaller than the sum of its proper divisors (8172288).

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

3385440 is a wasteful number, since it uses less digits than its factorization.

3385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3385440 is about 1839.9565212254. The cubic root of 3385440 is about 150.1545074617.

It can be divided in two parts, 338 and 5440, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 3385440 in words is "three million, three hundred eighty-five thousand, four hundred forty".