3287760 has 160 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 705024.

The previous prime is 3287747. The next prime is 3287761. The reversal of 3287760 is 677823.

3287760 = 137² + 138² + ... + 231².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31869 + ... + 31971.

It is an arithmetic number, because the mean of its divisors is an integer number (77376).

Almost surely, 2^3287760 is an apocalyptic number.

3287760 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 3287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

3287760 is an abundant number, since it is smaller than the sum of its proper divisors (9092400).

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

3287760 is a wasteful number, since it uses less digits than its factorization.

3287760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3287760 is about 1813.2181335956. The cubic root of 3287760 is about 148.6962567425.

The spelling of 3287760 in words is "three million, two hundred eighty-seven thousand, seven hundred sixty".