3612067280 has 80 divisors (see below), whose sum is σ = 8649959760. Its totient is φ = 1401716736.

The previous prime is 3612067273. The next prime is 3612067301. The reversal of 3612067280 is 827602163.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 528264256 + 3083803024 = 22984^2 + 55532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3612067280.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1149872 + ... + 1153008.

It is an arithmetic number, because the mean of its divisors is an integer number (108124497).

Almost surely, 2^3612067280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612067280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324979880).

3612067280 is an abundant number, since it is smaller than the sum of its proper divisors (5037892480).

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

3612067280 is a wasteful number, since it uses less digits than its factorization.

3612067280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 3612067280 is about 60100.4765372122. The cubic root of 3612067280 is about 1534.3294124415.

The spelling of 3612067280 in words is "three billion, six hundred twelve million, sixty-seven thousand, two hundred eighty".