3630967032 has 576 divisors, whose sum is σ = 13099968000. Its totient is φ = 830269440.

The previous prime is 3630967031. The next prime is 3630967073. The reversal of 3630967032 is 2307690363.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630967031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45961569 + ... + 45961647.

It is an arithmetic number, because the mean of its divisors is an integer number (22743000).

Almost surely, 2^3630967032 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 3630967032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549984000).

3630967032 is an abundant number, since it is smaller than the sum of its proper divisors (9469000968).

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

3630967032 is a wasteful number, since it uses less digits than its factorization.

3630967032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 39.

The square root of 3630967032 is about 60257.5060220716. The cubic root of 3630967032 is about 1537.0008295341. Note that the first 3 decimals are identical.

The spelling of 3630967032 in words is "three billion, six hundred thirty million, nine hundred sixty-seven thousand, thirty-two".