3786186240 has 600 divisors, whose sum is σ = 14749982280. Its totient is φ = 925655040.

The previous prime is 3786186233. The next prime is 3786186241. The reversal of 3786186240 is 426816873.

3786186240 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 18 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786186241) 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 59 ways as a sum of consecutive naturals, for example, 122135025 + ... + 122135055.

Almost surely, 2^3786186240 is an apocalyptic number.

3786186240 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 3786186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374991140).

3786186240 is an abundant number, since it is smaller than the sum of its proper divisors (10963796040).

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

3786186240 is an equidigital number, since it uses as much as digits as its factorization.

3786186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3786186240 is about 61531.9936293307. The cubic root of 3786186240 is about 1558.5975561454.

The spelling of 3786186240 in words is "three billion, seven hundred eighty-six million, one hundred eighty-six thousand, two hundred forty".