3361120 has 48 divisors (see below), whose sum is σ = 9078048. Its totient is φ = 1152000.

The previous prime is 3361097. The next prime is 3361123. The reversal of 3361120 is 211633.

It is a super-2 number, since 2×3361120² = 22594255308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3361094 and 3361103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361123) 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, 381 + ... + 2620.

It is an arithmetic number, because the mean of its divisors is an integer number (189126).

Almost surely, 2^3361120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539024).

3361120 is an abundant number, since it is smaller than the sum of its proper divisors (5716928).

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

3361120 is a wasteful number, since it uses less digits than its factorization.

3361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3361120 is about 1833.3357575742. The cubic root of 3361120 is about 149.7940878342.

Adding to 3361120 its reverse (211633), we get a palindrome (3572753).

It can be divided in two parts, 33611 and 20, that multiplied together give a triangular number (672220 = T₁₁₅₉).

The spelling of 3361120 in words is "three million, three hundred sixty-one thousand, one hundred twenty".