3672381600000 has 648 divisors, whose sum is σ = 13284630744840. Its totient is φ = 975605760000.

The previous prime is 3672381599987. The next prime is 3672381600001. The reversal of 3672381600000 is 61832763.

It is a happy number.

3672381600000 is a `hidden beast` number, since 367 + 238 + 1 + 60 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3647427710976 + 24953889024 = 1909824^2 + 157968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3672381600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2282399196 + ... + 2282400804.

Almost surely, 2^{3672381600000} is an apocalyptic number.

3672381600000 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 3672381600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642315372420).

3672381600000 is an abundant number, since it is smaller than the sum of its proper divisors (9612249144840).

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

3672381600000 is an equidigital number, since it uses as much as digits as its factorization.

3672381600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 3672381600000 in words is "three trillion, six hundred seventy-two billion, three hundred eighty-one million, six hundred thousand".