3616275705120 has 288 divisors, whose sum is σ = 13320116409600. Its totient is φ = 888130455552.

The previous prime is 3616275705059. The next prime is 3616275705121. The reversal of 3616275705120 is 215075726163.

It is a happy number.

3616275705120 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 2 + 7 + 570 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3616275705121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7998061 + ... + 8438099.

It is an arithmetic number, because the mean of its divisors is an integer number (46250404200).

Almost surely, 2^{3616275705120} is an apocalyptic number.

3616275705120 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 3616275705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660058204800).

3616275705120 is an abundant number, since it is smaller than the sum of its proper divisors (9703840704480).

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

3616275705120 is a wasteful number, since it uses less digits than its factorization.

3616275705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440512 (or 440501 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 3616275705120 in words is "three trillion, six hundred sixteen billion, two hundred seventy-five million, seven hundred five thousand, one hundred twenty".