3672389871360 has 2016 divisors, whose sum is σ = 16059725660160. Its totient is φ = 785576558592.

The previous prime is 3672389871329. The next prime is 3672389871401. The reversal of 3672389871360 is 631789832763.

3672389871360 is a `hidden beast` number, since 36 + 7 + 238 + 9 + 8 + 7 + 1 + 360 = 666.

3672389871360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15761329804 + ... + 15761330036.

It is an arithmetic number, because the mean of its divisors is an integer number (7966133760).

Almost surely, 2^{3672389871360} is an apocalyptic number.

3672389871360 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 3672389871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029862830080).

3672389871360 is an abundant number, since it is smaller than the sum of its proper divisors (12387335788800).

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

3672389871360 is a wasteful number, since it uses less digits than its factorization.

3672389871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 3672389871360 in words is "three trillion, six hundred seventy-two billion, three hundred eighty-nine million, eight hundred seventy-one thousand, three hundred sixty".