3355440 has 160 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 768000.

The previous prime is 3355439. The next prime is 3355453. The reversal of 3355440 is 445533.

It is a happy number.

It is a super-3 number, since 3×3355440³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3355440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81820 + ... + 81860.

Almost surely, 2^3355440 is an apocalyptic number.

3355440 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 3355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

3355440 is an abundant number, since it is smaller than the sum of its proper divisors (8643792).

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

3355440 is a wasteful number, since it uses less digits than its factorization.

3355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3355440 is about 1831.7860137036. The cubic root of 3355440 is about 149.7096606050.

It can be divided in two parts, 335 and 5440, that added together give a palindrome (5775).

The spelling of 3355440 in words is "three million, three hundred fifty-five thousand, four hundred forty".