3631264896 has 256 divisors, whose sum is σ = 11421388800. Its totient is φ = 1000796160.

The previous prime is 3631264891. The next prime is 3631264921. The reversal of 3631264896 is 6984621363.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3631264891) 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, 10114765 + ... + 10115123.

It is an arithmetic number, because the mean of its divisors is an integer number (44614800).

Almost surely, 2^3631264896 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 3631264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710694400).

3631264896 is an abundant number, since it is smaller than the sum of its proper divisors (7790123904).

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

3631264896 is a wasteful number, since it uses less digits than its factorization.

3631264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 3631264896 is about 60259.9775638856. The cubic root of 3631264896 is about 1537.0428573367.

The spelling of 3631264896 in words is "three billion, six hundred thirty-one million, two hundred sixty-four thousand, eight hundred ninety-six".