3381480 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 864000.

The previous prime is 3381479. The next prime is 3381481. The reversal of 3381480 is 841833.

3381480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3381479) and next prime (3381481).

It is a super-2 number, since 2×3381480² = 22868813980800, 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 not an unprimeable number, because it can be changed into a prime (3381481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33430 + ... + 33530.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3381480 is an apocalyptic number.

3381480 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 3381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3381480 is an abundant number, since it is smaller than the sum of its proper divisors (8368920).

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

3381480 is a wasteful number, since it uses less digits than its factorization.

3381480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

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

The square root of 3381480 is about 1838.8800939702. The cubic root of 3381480 is about 150.0959386255.

The spelling of 3381480 in words is "three million, three hundred eighty-one thousand, four hundred eighty".