3612505813632 has 384 divisors, whose sum is σ = 11358181195200. Its totient is φ = 1130087946240.

The previous prime is 3612505813603. The next prime is 3612505813663. The reversal of 3612505813632 is 2363185052163.

3612505813632 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 5 + 0 + 5 + 8 + 1 + 3 + 632 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133481382 + ... + 133508442.

Almost surely, 2^{3612505813632} is an apocalyptic number.

3612505813632 is a gapful number since it is divisible by the number (32) 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 3612505813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679090597600).

3612505813632 is an abundant number, since it is smaller than the sum of its proper divisors (7745675381568).

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

3612505813632 is a wasteful number, since it uses less digits than its factorization.

3612505813632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27229 (or 27192 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3612505813632 in words is "three trillion, six hundred twelve billion, five hundred five million, eight hundred thirteen thousand, six hundred thirty-two".