3257680 has 40 divisors (see below), whose sum is σ = 7758432. Its totient is φ = 1271424.

The previous prime is 3257671. The next prime is 3257689. The reversal of 3257680 is 867523.

It is an interprime number because it is at equal distance from previous prime (3257671) and next prime (3257689).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3257680² = 21224957964800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257689) 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, 2967 + ... + 3913.

Almost surely, 2^3257680 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 3257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879216).

3257680 is an abundant number, since it is smaller than the sum of its proper divisors (4500752).

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

3257680 is a wasteful number, since it uses less digits than its factorization.

3257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3257680 is about 1804.9044296029. The cubic root of 3257680 is about 148.2413884037.

The spelling of 3257680 in words is "three million, two hundred fifty-seven thousand, six hundred eighty".