3387360 has 48 divisors (see below), whose sum is σ = 10671696. Its totient is φ = 903168.

The previous prime is 3387353. The next prime is 3387407. The reversal of 3387360 is 637833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3387360² = 22948415539200, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 3049 + ... + 4008.

It is an arithmetic number, because the mean of its divisors is an integer number (222327).

Almost surely, 2^3387360 is an apocalyptic number.

3387360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3387360 is an abundant number, since it is smaller than the sum of its proper divisors (7284336).

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

3387360 is a wasteful number, since it uses less digits than its factorization.

3387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3387360 is about 1840.4781987299. The cubic root of 3387360 is about 150.1828880336.

It can be divided in two parts, 33873 and 60, that added together give a palindrome (33933).

The spelling of 3387360 in words is "three million, three hundred eighty-seven thousand, three hundred sixty".