3785146368 has 120 divisors (see below), whose sum is σ = 10290935088. Its totient is φ = 1237057536.

The previous prime is 3785146367. The next prime is 3785146411. The reversal of 3785146368 is 8636415873.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3785146368.

It is not an unprimeable number, because it can be changed into a prime (3785146367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2604330 + ... + 2605782.

Almost surely, 2^3785146368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145467544).

3785146368 is an abundant number, since it is smaller than the sum of its proper divisors (6505788720).

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

3785146368 is an equidigital number, since it uses as much as digits as its factorization.

3785146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1511 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 3785146368 is about 61523.5432009568. The cubic root of 3785146368 is about 1558.4548540298.

The spelling of 3785146368 in words is "three billion, seven hundred eighty-five million, one hundred forty-six thousand, three hundred sixty-eight".