3646611118080 has 1536 divisors, whose sum is σ = 15332057395200. Its totient is φ = 804925734912.

The previous prime is 3646611118061. The next prime is 3646611118081. The reversal of 3646611118080 is 808111166463.

3646611118080 is a `hidden beast` number, since 3 + 6 + 466 + 1 + 1 + 1 + 180 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646611118081) 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 127 ways as a sum of consecutive naturals, for example, 7487907597 + ... + 7487908083.

It is an arithmetic number, because the mean of its divisors is an integer number (9981808200).

Almost surely, 2^{3646611118080} is an apocalyptic number.

3646611118080 is a gapful number since it is divisible by the number (30) 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 3646611118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666028697600).

3646611118080 is an abundant number, since it is smaller than the sum of its proper divisors (11685446277120).

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

3646611118080 is a wasteful number, since it uses less digits than its factorization.

3646611118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 3646611118080 in words is "three trillion, six hundred forty-six billion, six hundred eleven million, one hundred eighteen thousand, eighty".