3201682880 has 112 divisors (see below), whose sum is σ = 8403738336. Its totient is φ = 1152122880.

The previous prime is 3201682877. The next prime is 3201682889. The reversal of 3201682880 is 882861023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201682889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336752 + ... + 346128.

It is an arithmetic number, because the mean of its divisors is an integer number (75033378).

Almost surely, 2^3201682880 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 3201682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201869168).

3201682880 is an abundant number, since it is smaller than the sum of its proper divisors (5202055456).

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

3201682880 is a wasteful number, since it uses less digits than its factorization.

3201682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 9492 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 3201682880 is about 56583.4152380360. The cubic root of 3201682880 is about 1473.8708784738.

The spelling of 3201682880 in words is "three billion, two hundred one million, six hundred eighty-two thousand, eight hundred eighty".