3385760 has 48 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 1160448.

The previous prime is 3385757. The next prime is 3385763. The reversal of 3385760 is 675833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3385757) and next prime (3385763).

It is a super-2 number, since 2×3385760² = 22926741555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3385763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 2^3385760 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 3385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

3385760 is an abundant number, since it is smaller than the sum of its proper divisors (5758816).

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

3385760 is a wasteful number, since it uses less digits than its factorization.

3385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3385760 is about 1840.0434777472. The cubic root of 3385760 is about 150.1592383020.

The spelling of 3385760 in words is "three million, three hundred eighty-five thousand, seven hundred sixty".