3561672816 has 320 divisors, whose sum is σ = 11999232000. Its totient is φ = 1001548800.

The previous prime is 3561672811. The next prime is 3561672823. The reversal of 3561672816 is 6182761653.

3561672816 is a `hidden beast` number, since 3 + 5 + 616 + 7 + 28 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561672811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3093841 + ... + 3094991.

It is an arithmetic number, because the mean of its divisors is an integer number (37497600).

Almost surely, 2^3561672816 is an apocalyptic number.

3561672816 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 3561672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616000).

3561672816 is an abundant number, since it is smaller than the sum of its proper divisors (8437559184).

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

3561672816 is a wasteful number, since it uses less digits than its factorization.

3561672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1217 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3561672816 is about 59679.7521442574. The cubic root of 3561672816 is about 1527.1604696247.

The spelling of 3561672816 in words is "three billion, five hundred sixty-one million, six hundred seventy-two thousand, eight hundred sixteen".