3687324480 has 1008 divisors, whose sum is σ = 16464960720. Its totient is φ = 751435776.

The previous prime is 3687324469. The next prime is 3687324521. The reversal of 3687324480 is 844237863.

It can be written as a sum of positive squares in 8 ways, for example, as 150405696 + 3536918784 = 12264^2 + 59472^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69572134 + ... + 69572186.

Almost surely, 2^3687324480 is an apocalyptic number.

3687324480 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 3687324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232480360).

3687324480 is an abundant number, since it is smaller than the sum of its proper divisors (12777636240).

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

3687324480 is a wasteful number, since it uses less digits than its factorization.

3687324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3687324480 is about 60723.3437814487. The cubic root of 3687324480 is about 1544.9121387809.

The spelling of 3687324480 in words is "three billion, six hundred eighty-seven million, three hundred twenty-four thousand, four hundred eighty".