3627632736 has 768 divisors, whose sum is σ = 14157158400. Its totient is φ = 877879296.

The previous prime is 3627632689. The next prime is 3627632843. The reversal of 3627632736 is 6372367263.

3627632736 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 632 + 7 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3627632691 and 3627632700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84363531 + ... + 84363573.

It is an arithmetic number, because the mean of its divisors is an integer number (18433800).

Almost surely, 2^3627632736 is an apocalyptic number.

3627632736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3627632736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078579200).

3627632736 is an abundant number, since it is smaller than the sum of its proper divisors (10529525664).

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

3627632736 is a wasteful number, since it uses less digits than its factorization.

3627632736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The square root of 3627632736 is about 60229.8326081021. The cubic root of 3627632736 is about 1536.5302124625.

Adding to 3627632736 its reverse (6372367263), we get a palindrome (9999999999).

The spelling of 3627632736 in words is "three billion, six hundred twenty-seven million, six hundred thirty-two thousand, seven hundred thirty-six".