3381840 has 240 divisors, whose sum is σ = 14391936. Its totient is φ = 691200.

The previous prime is 3381839. The next prime is 3381841. The reversal of 3381840 is 481833.

It is an interprime number because it is at equal distance from previous prime (3381839) and next prime (3381841).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3381840² = 22873683571200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55410 + ... + 55470.

Almost surely, 2^3381840 is an apocalyptic number.

3381840 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 3381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195968).

3381840 is an abundant number, since it is smaller than the sum of its proper divisors (11010096).

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

3381840 is a wasteful number, since it uses less digits than its factorization.

3381840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3381840 is about 1838.9779770296. The cubic root of 3381840 is about 150.1012649540.

The spelling of 3381840 in words is "three million, three hundred eighty-one thousand, eight hundred forty".