3251361680 has 240 divisors, whose sum is σ = 9354780720. Its totient is φ = 1045868544.

The previous prime is 3251361677. The next prime is 3251361697. The reversal of 3251361680 is 861631523.

3251361680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30118144 + 3221243536 = 5488^2 + 56756^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3251361680.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4205774 + ... + 4206546.

It is an arithmetic number, because the mean of its divisors is an integer number (38978253).

Almost surely, 2^3251361680 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 3251361680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677390360).

3251361680 is an abundant number, since it is smaller than the sum of its proper divisors (6103419040).

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

3251361680 is a wasteful number, since it uses less digits than its factorization.

3251361680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3251361680 is about 57020.7127279202. The cubic root of 3251361680 is about 1481.4548756598.

The spelling of 3251361680 in words is "three billion, two hundred fifty-one million, three hundred sixty-one thousand, six hundred eighty".