3632338944 has 384 divisors, whose sum is σ = 12034713600. Its totient is φ = 1074954240.

The previous prime is 3632338901. The next prime is 3632338973. The reversal of 3632338944 is 4498332363.

3632338944 is a `hidden beast` number, since 3 + 632 + 3 + 3 + 8 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3632338944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22284207 + ... + 22284369.

It is an arithmetic number, because the mean of its divisors is an integer number (31340400).

Almost surely, 2^3632338944 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 3632338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017356800).

3632338944 is an abundant number, since it is smaller than the sum of its proper divisors (8402374656).

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

3632338944 is a wasteful number, since it uses less digits than its factorization.

3632338944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 3632338944 is about 60268.8886906006. Note that the first 3 decimals coincide. The cubic root of 3632338944 is about 1537.1943835145.

The spelling of 3632338944 in words is "three billion, six hundred thirty-two million, three hundred thirty-eight thousand, nine hundred forty-four".