3618452736 has 288 divisors, whose sum is σ = 11343709440. Its totient is φ = 1149603840.

The previous prime is 3618452731. The next prime is 3618452741. The reversal of 3618452736 is 6372548163.

3618452736 is a `hidden beast` number, since 3 + 618 + 4 + 5 + 27 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3618452731) and next prime (3618452741).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3618452691 and 3618452700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3618452731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12876916 + ... + 12877196.

It is an arithmetic number, because the mean of its divisors is an integer number (39387880).

Almost surely, 2^3618452736 is an apocalyptic number.

3618452736 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 3618452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671854720).

3618452736 is an abundant number, since it is smaller than the sum of its proper divisors (7725256704).

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

3618452736 is an frugal number, since it uses more digits than its factorization.

3618452736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 309 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3618452736 is about 60153.5762527882. The cubic root of 3618452736 is about 1535.2330155161.

The spelling of 3618452736 in words is "three billion, six hundred eighteen million, four hundred fifty-two thousand, seven hundred thirty-six".