3687872160 has 192 divisors, whose sum is σ = 13304051712. Its totient is φ = 841184256.

The previous prime is 3687872143. The next prime is 3687872171. The reversal of 3687872160 is 612787863.

3687872160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2294077 + ... + 2295683.

It is an arithmetic number, because the mean of its divisors is an integer number (69291936).

Almost surely, 2^3687872160 is an apocalyptic number.

3687872160 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 3687872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652025856).

3687872160 is an abundant number, since it is smaller than the sum of its proper divisors (9616179552).

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

3687872160 is a wasteful number, since it uses less digits than its factorization.

3687872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 3687872160 is about 60727.8532470892. The cubic root of 3687872160 is about 1544.9886238309.

The spelling of 3687872160 in words is "three billion, six hundred eighty-seven million, eight hundred seventy-two thousand, one hundred sixty".