3600992016 has 120 divisors (see below), whose sum is σ = 10339706520. Its totient is φ = 1169510400.

The previous prime is 3600992009. The next prime is 3600992029. The reversal of 3600992016 is 6102990063.

3600992016 is a `hidden beast` number, since 360 + 0 + 99 + 201 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96825600 + 3504166416 = 9840^2 + 59196^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955576 + ... + 959336.

It is an arithmetic number, because the mean of its divisors is an integer number (86164221).

Almost surely, 2^3600992016 is an apocalyptic number.

3600992016 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 3600992016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169853260).

3600992016 is an abundant number, since it is smaller than the sum of its proper divisors (6738714504).

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

3600992016 is a wasteful number, since it uses less digits than its factorization.

3600992016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3600992016 is about 60008.2662305786. The cubic root of 3600992016 is about 1532.7596280098.

It can be divided in two parts, 3600 and 992016, that multiplied together give a square (3571257600 = 59760²).

The spelling of 3600992016 in words is "three billion, six hundred million, nine hundred ninety-two thousand, sixteen".