3388440 has 128 divisors (see below), whose sum is σ = 11819520. Its totient is φ = 768000.

The previous prime is 3388439. The next prime is 3388459. The reversal of 3388440 is 448833.

It is a super-2 number, since 2×3388440² = 22963051267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3388398 and 3388407.

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, 22365 + ... + 22515.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

Almost surely, 2^3388440 is an apocalyptic number.

3388440 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 3388440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909760).

3388440 is an abundant number, since it is smaller than the sum of its proper divisors (8431080).

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

3388440 is a wasteful number, since it uses less digits than its factorization.

3388440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3388440 is about 1840.7715773555. The cubic root of 3388440 is about 150.1988473927.

It can be divided in two parts, 3388 and 440, that added together give a triangular number (3828 = T₈₇).

The spelling of 3388440 in words is "three million, three hundred eighty-eight thousand, four hundred forty".