3387960 has 64 divisors (see below), whose sum is σ = 11296800. Its totient is φ = 903168.

The previous prime is 3387949. The next prime is 3387961. The reversal of 3387960 is 697833.

3387960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3387960² = 22956545923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489 + ... + 2648.

Almost surely, 2^3387960 is an apocalyptic number.

3387960 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 3387960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648400).

3387960 is an abundant number, since it is smaller than the sum of its proper divisors (7908840).

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

3387960 is a wasteful number, since it uses less digits than its factorization.

3387960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3387960 is about 1840.6411926283. The cubic root of 3387960 is about 150.1917547629.

The spelling of 3387960 in words is "three million, three hundred eighty-seven thousand, nine hundred sixty".