3835680000 has 360 divisors, whose sum is σ = 13064642976. Its totient is φ = 998400000.

The previous prime is 3835679993. The next prime is 3835680001. The reversal of 3835680000 is 865383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29279935 + ... + 29280065.

Almost surely, 2^3835680000 is an apocalyptic number.

3835680000 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 3835680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532321488).

3835680000 is an abundant number, since it is smaller than the sum of its proper divisors (9228962976).

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

3835680000 is an equidigital number, since it uses as much as digits as its factorization.

3835680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3835680000 is about 61932.8668801954. The cubic root of 3835680000 is about 1565.3596059723.

The spelling of 3835680000 in words is "three billion, eight hundred thirty-five million, six hundred eighty thousand".