3387760 has 80 divisors (see below), whose sum is σ = 8678016. Its totient is φ = 1224704.

The previous prime is 3387749. The next prime is 3387799. The reversal of 3387760 is 677833.

3387760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3387760² = 22953835635200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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, 63894 + ... + 63946.

Almost surely, 2^3387760 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 3387760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339008).

3387760 is an abundant number, since it is smaller than the sum of its proper divisors (5290256).

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

3387760 is a wasteful number, since it uses less digits than its factorization.

3387760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 3387760 is about 1840.5868629326. The cubic root of 3387760 is about 150.1887993028.

The spelling of 3387760 in words is "three million, three hundred eighty-seven thousand, seven hundred sixty".