3387930 has 128 divisors (see below), whose sum is σ = 10741248. Its totient is φ = 663552.

The previous prime is 3387911. The next prime is 3387931. The reversal of 3387930 is 397833.

3387930 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 2×3387930² = 22956139369800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3387891 and 3387900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387931) 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 63 ways as a sum of consecutive naturals, for example, 46374 + ... + 46446.

It is an arithmetic number, because the mean of its divisors is an integer number (83916).

Almost surely, 2^3387930 is an apocalyptic number.

3387930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624).

3387930 is an abundant number, since it is smaller than the sum of its proper divisors (7353318).

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

3387930 is a wasteful number, since it uses less digits than its factorization.

3387930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3387930 is about 1840.6330432761. The cubic root of 3387930 is about 150.1913114513.

The spelling of 3387930 in words is "three million, three hundred eighty-seven thousand, nine hundred thirty".