3612563136 has 336 divisors, whose sum is σ = 13062923328. Its totient is φ = 929525760.

The previous prime is 3612563099. The next prime is 3612563161. The reversal of 3612563136 is 6313652163.

3612563136 is a `hidden beast` number, since 3 + 6 + 12 + 5 + 631 + 3 + 6 = 666.

3612563136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3612563136² = 26101224823172308992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3612563136.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88111276 + ... + 88111316.

It is an arithmetic number, because the mean of its divisors is an integer number (38877748).

Almost surely, 2^3612563136 is an apocalyptic number.

3612563136 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 3612563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531461664).

3612563136 is an abundant number, since it is smaller than the sum of its proper divisors (9450360192).

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

3612563136 is an equidigital number, since it uses as much as digits as its factorization.

3612563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 66 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3612563136 is about 60104.6016208410. The cubic root of 3612563136 is about 1534.3996189257.

The spelling of 3612563136 in words is "three billion, six hundred twelve million, five hundred sixty-three thousand, one hundred thirty-six".