3687743820 has 192 divisors, whose sum is σ = 11311372800. Its totient is φ = 894136320.

The previous prime is 3687743803. The next prime is 3687743879. The reversal of 3687743820 is 283477863.

3687743820 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 3687743820.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10942692 + ... + 10943028.

It is an arithmetic number, because the mean of its divisors is an integer number (58913400).

Almost surely, 2^3687743820 is an apocalyptic number.

3687743820 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 3687743820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655686400).

3687743820 is an abundant number, since it is smaller than the sum of its proper divisors (7623628980).

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

3687743820 is a wasteful number, since it uses less digits than its factorization.

3687743820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 3687743820 is about 60726.7965563803. The cubic root of 3687743820 is about 1544.9707014689.

The spelling of 3687743820 in words is "three billion, six hundred eighty-seven million, seven hundred forty-three thousand, eight hundred twenty".