3370880 has 64 divisors (see below), whose sum is σ = 8445600. Its totient is φ = 1284096.

The previous prime is 3370877. The next prime is 3370883. The reversal of 3370880 is 880733.

3370880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3370877) and next prime (3370883).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3370880² = 22725663948800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370883) 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 7 ways as a sum of consecutive naturals, for example, 14606 + ... + 14834.

Almost surely, 2^3370880 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 3370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222800).

3370880 is an abundant number, since it is smaller than the sum of its proper divisors (5074720).

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

3370880 is a wasteful number, since it uses less digits than its factorization.

3370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3370880 is about 1835.9956426964. The cubic root of 3370880 is about 149.9389381093.

The spelling of 3370880 in words is "three million, three hundred seventy thousand, eight hundred eighty".