3687806880 has 240 divisors, whose sum is σ = 13079604384. Its totient is φ = 982575360.

The previous prime is 3687806873. The next prime is 3687806887. The reversal of 3687806880 is 886087863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3687806873) and next prime (3687806887).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3687806887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3148695 + ... + 3149865.

Almost surely, 2^3687806880 is an apocalyptic number.

3687806880 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 3687806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539802192).

3687806880 is an abundant number, since it is smaller than the sum of its proper divisors (9391797504).

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

3687806880 is an frugal number, since it uses more digits than its factorization.

3687806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 3687806880 is about 60727.3157648187. The cubic root of 3687806880 is about 1544.9795076931.

The spelling of 3687806880 in words is "three billion, six hundred eighty-seven million, eight hundred six thousand, eight hundred eighty".