3612286720 has 144 divisors (see below), whose sum is σ = 9925009920. Its totient is φ = 1233948672.

The previous prime is 3612286703. The next prime is 3612286721. The reversal of 3612286720 is 276822163.

3612286720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3612286720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3612286721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3216079 + ... + 3217201.

It is an arithmetic number, because the mean of its divisors is an integer number (68923680).

Almost surely, 2^3612286720 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 3612286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962504960).

3612286720 is an abundant number, since it is smaller than the sum of its proper divisors (6312723200).

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

3612286720 is a wasteful number, since it uses less digits than its factorization.

3612286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 3612286720 is about 60102.3021189705. The cubic root of 3612286720 is about 1534.3604829617.

The spelling of 3612286720 in words is "three billion, six hundred twelve million, two hundred eighty-six thousand, seven hundred twenty".