3836680000 has 70 divisors (see below), whose sum is σ = 9513818666. Its totient is φ = 1534656000.

The previous prime is 3836679997. The next prime is 3836680009. The reversal of 3836680000 is 866383.

It can be written as a sum of positive squares in 5 ways, for example, as 1343075904 + 2493604096 = 36648^2 + 49936^2 .

It is a super-2 number, since 2×3836680000² = 29440226844800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836680009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7959 + ... + 87958.

Almost surely, 2^3836680000 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 3836680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756909333).

3836680000 is an abundant number, since it is smaller than the sum of its proper divisors (5677138666).

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

3836680000 is an frugal number, since it uses more digits than its factorization.

3836680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95949 (or 95924 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3836680000 is about 61940.9396118593. The cubic root of 3836680000 is about 1565.4956291017.

The spelling of 3836680000 in words is "three billion, eight hundred thirty-six million, six hundred eighty thousand".