3687385788720 has 240 divisors, whose sum is σ = 12492048172032. Its totient is φ = 974698283520.

The previous prime is 3687385788701. The next prime is 3687385788761. The reversal of 3687385788720 is 278875837863.

3687385788720 is a `hidden beast` number, since 3 + 6 + 87 + 385 + 78 + 87 + 20 = 666.

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 (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85526689 + ... + 85569791.

Almost surely, 2^{3687385788720} is an apocalyptic number.

3687385788720 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 3687385788720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246024086016).

3687385788720 is an abundant number, since it is smaller than the sum of its proper divisors (8804662383312).

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

3687385788720 is a wasteful number, since it uses less digits than its factorization.

3687385788720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44160 (or 44151 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 3687385788720 in words is "three trillion, six hundred eighty-seven billion, three hundred eighty-five million, seven hundred eighty-eight thousand, seven hundred twenty".