3353840 has 80 divisors (see below), whose sum is σ = 9160128. Its totient is φ = 1118208.

The previous prime is 3353813. The next prime is 3353851. The reversal of 3353840 is 483533.

3353840 = T₇ + T₈ + ... + T₂₇₁.

3353840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3353840² = 22496485491200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29624 + ... + 29736.

Almost surely, 2^3353840 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 3353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064).

3353840 is an abundant number, since it is smaller than the sum of its proper divisors (5806288).

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

3353840 is a wasteful number, since it uses less digits than its factorization.

3353840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3353840 is about 1831.3492293935. The cubic root of 3353840 is about 149.6858610894.

The spelling of 3353840 in words is "three million, three hundred fifty-three thousand, eight hundred forty".