3507680 has 48 divisors (see below), whose sum is σ = 9044784. Its totient is φ = 1274880.

The previous prime is 3507677. The next prime is 3507689. The reversal of 3507680 is 867053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3507689) 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, 764 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (188433).

Almost surely, 2^3507680 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 3507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522392).

3507680 is an abundant number, since it is smaller than the sum of its proper divisors (5537104).

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

3507680 is a wasteful number, since it uses less digits than its factorization.

3507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 3507680 is about 1872.8801349793. The cubic root of 3507680 is about 151.9404198624.

The spelling of 3507680 in words is "three million, five hundred seven thousand, six hundred eighty".