3387120 has 80 divisors (see below), whose sum is σ = 11463552. Its totient is φ = 820480.

The previous prime is 3387119. The next prime is 3387157. The reversal of 3387120 is 217833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3387120² = 22945163788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999 + ... + 3281.

Almost surely, 2^3387120 is an apocalyptic number.

3387120 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 3387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731776).

3387120 is an abundant number, since it is smaller than the sum of its proper divisors (8076432).

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

3387120 is a wasteful number, since it uses less digits than its factorization.

3387120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3387120 is about 1840.4129971286. The cubic root of 3387120 is about 150.1793410487.

It can be divided in two parts, 33 and 87120, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 3387120 in words is "three million, three hundred eighty-seven thousand, one hundred twenty".