3207960 has 192 divisors, whose sum is σ = 12729600. Its totient is φ = 684288.

The previous prime is 3207949. The next prime is 3207961. The reversal of 3207960 is 697023.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3207961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47847 + ... + 47913.

It is an arithmetic number, because the mean of its divisors is an integer number (66300).

Almost surely, 2^3207960 is an apocalyptic number.

3207960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3207960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364800).

3207960 is an abundant number, since it is smaller than the sum of its proper divisors (9521640).

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

3207960 is a wasteful number, since it uses less digits than its factorization.

3207960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3207960 is about 1791.0778877536. The cubic root of 3207960 is about 147.4833458167.

The spelling of 3207960 in words is "three million, two hundred seven thousand, nine hundred sixty".