3631895680 has 192 divisors, whose sum is σ = 10172174400. Its totient is φ = 1236350976.

The previous prime is 3631895671. The next prime is 3631895783. The reversal of 3631895680 is 865981363.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5613117 + ... + 5613763.

It is an arithmetic number, because the mean of its divisors is an integer number (52980075).

Almost surely, 2^3631895680 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 3631895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086087200).

3631895680 is an abundant number, since it is smaller than the sum of its proper divisors (6540278720).

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

3631895680 is a wasteful number, since it uses less digits than its factorization.

3631895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 3631895680 is about 60265.2111918642. The cubic root of 3631895680 is about 1537.1318516619.

The spelling of 3631895680 in words is "three billion, six hundred thirty-one million, eight hundred ninety-five thousand, six hundred eighty".