3378240 has 224 divisors, whose sum is σ = 13167360. Its totient is φ = 811008.

The previous prime is 3378229. The next prime is 3378253. The reversal of 3378240 is 428733.

It is a super-2 number, since 2×3378240² = 22825010995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 146869 + ... + 146891.

Almost surely, 2^3378240 is an apocalyptic number.

3378240 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 3378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

3378240 is an abundant number, since it is smaller than the sum of its proper divisors (9789120).

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

3378240 is a wasteful number, since it uses less digits than its factorization.

3378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3378240 is about 1837.9989118604. The cubic root of 3378240 is about 150.0479846482.

The spelling of 3378240 in words is "three million, three hundred seventy-eight thousand, two hundred forty".