3786227760 has 320 divisors, whose sum is σ = 14591066112. Its totient is φ = 792281088.

The previous prime is 3786227737. The next prime is 3786227761. The reversal of 3786227760 is 677226873.

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

It is not an unprimeable number, because it can be changed into a prime (3786227761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054929 + ... + 1058511.

Almost surely, 2^3786227760 is an apocalyptic number.

3786227760 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 3786227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295533056).

3786227760 is an abundant number, since it is smaller than the sum of its proper divisors (10804838352).

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

3786227760 is a wasteful number, since it uses less digits than its factorization.

3786227760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 3786227760 is about 61532.3310138662. The cubic root of 3786227760 is about 1558.6032534117.

The spelling of 3786227760 in words is "three billion, seven hundred eighty-six million, two hundred twenty-seven thousand, seven hundred sixty".