3616618021632 has 2304 divisors, whose sum is σ = 14768603136000. Its totient is φ = 844734873600.

The previous prime is 3616618021573. The next prime is 3616618021633. The reversal of 3616618021632 is 2361208166163.

3616618021632 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 6 + 1 + 8 + 0 + 2 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (3616618021633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26018834619 + ... + 26018834757.

It is an arithmetic number, because the mean of its divisors is an integer number (6409984000).

Almost surely, 2^{3616618021632} is an apocalyptic number.

3616618021632 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 3616618021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384301568000).

3616618021632 is an abundant number, since it is smaller than the sum of its proper divisors (11151985114368).

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

3616618021632 is a wasteful number, since it uses less digits than its factorization.

3616618021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3616618021632 in words is "three trillion, six hundred sixteen billion, six hundred eighteen million, twenty-one thousand, six hundred thirty-two".