3681852480 has 168 divisors, whose sum is σ = 12973333464. Its totient is φ = 957849600.

The previous prime is 3681852463. The next prime is 3681852497. The reversal of 3681852480 is 842581863.

3681852480 is a `hidden beast` number, since 36 + 8 + 18 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3681852463) and next prime (3681852497).

It can be written as a sum of positive squares in 4 ways, for example, as 275029056 + 3406823424 = 16584^2 + 58368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102490 + ... + 133670.

It is an arithmetic number, because the mean of its divisors is an integer number (77222223).

Almost surely, 2^3681852480 is an apocalyptic number.

3681852480 is a gapful number since it is divisible by the number (30) 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 3681852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486666732).

3681852480 is an abundant number, since it is smaller than the sum of its proper divisors (9291480984).

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

3681852480 is a wasteful number, since it uses less digits than its factorization.

3681852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31245 (or 31232 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3681852480 is about 60678.2702456159. The cubic root of 3681852480 is about 1544.1475424346.

It can be divided in two parts, 36818 and 52480, that added together give a palindrome (89298).

The spelling of 3681852480 in words is "three billion, six hundred eighty-one million, eight hundred fifty-two thousand, four hundred eighty".