3380160 has 112 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 771072.

The previous prime is 3380141. The next prime is 3380189. The reversal of 3380160 is 610833.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3380160² = 22850963251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6469 + ... + 6971.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 2^3380160 is an apocalyptic number.

3380160 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 3380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

3380160 is an abundant number, since it is smaller than the sum of its proper divisors (8909376).

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

3380160 is a wasteful number, since it uses less digits than its factorization.

3380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3380160 is about 1838.5211448335. The cubic root of 3380160 is about 150.0764055191.

Adding to 3380160 its reverse (610833), we get a palindrome (3990993).

The spelling of 3380160 in words is "three million, three hundred eighty thousand, one hundred sixty".