3616284672 has 672 divisors, whose sum is σ = 14312188800. Its totient is φ = 867041280.

The previous prime is 3616284589. The next prime is 3616284673. The reversal of 3616284672 is 2764826163.

3616284672 is a `hidden beast` number, since 3 + 616 + 28 + 4 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (580608) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3616284673) 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, 278175738 + ... + 278175750.

It is an arithmetic number, because the mean of its divisors is an integer number (21297900).

Almost surely, 2^3616284672 is an apocalyptic number.

3616284672 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 3616284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156094400).

3616284672 is an abundant number, since it is smaller than the sum of its proper divisors (10695904128).

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

3616284672 is a wasteful number, since it uses less digits than its factorization.

3616284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3616284672 is about 60135.5524793778. The cubic root of 3616284672 is about 1534.9263330129.

The spelling of 3616284672 in words is "three billion, six hundred sixteen million, two hundred eighty-four thousand, six hundred seventy-two".