3687091772160 has 576 divisors, whose sum is σ = 12612956912640. Its totient is φ = 915898368000.

The previous prime is 3687091772141. The next prime is 3687091772179. The reversal of 3687091772160 is 612771907863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3687091772141) and next prime (3687091772179).

It is a self number, because there is not a number n which added to its sum of digits gives 3687091772160.

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, 526648660 + ... + 526655660.

It is an arithmetic number, because the mean of its divisors is an integer number (21897494640).

Almost surely, 2^{3687091772160} is an apocalyptic number.

3687091772160 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 3687091772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306478456320).

3687091772160 is an abundant number, since it is smaller than the sum of its proper divisors (8925865140480).

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

3687091772160 is a wasteful number, since it uses less digits than its factorization.

3687091772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 3687091772160 in words is "three trillion, six hundred eighty-seven billion, ninety-one million, seven hundred seventy-two thousand, one hundred sixty".