3687321600 has 234 divisors, whose sum is σ = 13210493946. Its totient is φ = 983040000.

The previous prime is 3687321571. The next prime is 3687321647. The reversal of 3687321600 is 61237863.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6230016 + 3681091584 = 2496^2 + 60672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 919600 + ... + 923600.

Almost surely, 2^3687321600 is an apocalyptic number.

3687321600 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 3687321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605246973).

3687321600 is an abundant number, since it is smaller than the sum of its proper divisors (9523172346).

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

3687321600 is a wasteful number, since it uses less digits than its factorization.

3687321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3687321600 is about 60723.3200673349. The cubic root of 3687321600 is about 1544.9117365608.

The spelling of 3687321600 in words is "three billion, six hundred eighty-seven million, three hundred twenty-one thousand, six hundred".