3786090660 has 432 divisors, whose sum is σ = 13530508992. Its totient is φ = 881798400.

The previous prime is 3786090647. The next prime is 3786090673. The reversal of 3786090660 is 660906873.

3786090660 is a `hidden beast` number, since 37 + 8 + 609 + 0 + 6 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3786090647) and next prime (3786090673).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62067030 + ... + 62067090.

Almost surely, 2^3786090660 is an apocalyptic number.

3786090660 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 3786090660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765254496).

3786090660 is an abundant number, since it is smaller than the sum of its proper divisors (9744418332).

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

3786090660 is a wasteful number, since it uses less digits than its factorization.

3786090660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3786090660 is about 61531.2169552984. The cubic root of 3786090660 is about 1558.5844407483.

The spelling of 3786090660 in words is "three billion, seven hundred eighty-six million, ninety thousand, six hundred sixty".