3348480 has 96 divisors (see below), whose sum is σ = 10810800. Its totient is φ = 884736.

The previous prime is 3348479. The next prime is 3348481. The reversal of 3348480 is 848433.

It is an interprime number because it is at equal distance from previous prime (3348479) and next prime (3348481).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3348480² = 22424636620800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30666 + ... + 30774.

Almost surely, 2^3348480 is an apocalyptic number.

3348480 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 3348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405400).

3348480 is an abundant number, since it is smaller than the sum of its proper divisors (7462320).

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

3348480 is a wasteful number, since it uses less digits than its factorization.

3348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

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

The square root of 3348480 is about 1829.8852423035. The cubic root of 3348480 is about 149.6060775172.

It can be divided in two parts, 3348 and 480, that added together give a triangular number (3828 = T₈₇).

The spelling of 3348480 in words is "three million, three hundred forty-eight thousand, four hundred eighty".