3836911680 has 1008 divisors, whose sum is σ = 17074774080. Its totient is φ = 815173632.

The previous prime is 3836911669. The next prime is 3836911691. The reversal of 3836911680 is 861196383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3836911669) and next prime (3836911691).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72394534 + ... + 72394586.

It is an arithmetic number, because the mean of its divisors is an integer number (16939260).

Almost surely, 2^3836911680 is an apocalyptic number.

3836911680 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 3836911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537387040).

3836911680 is an abundant number, since it is smaller than the sum of its proper divisors (13237862400).

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

3836911680 is a wasteful number, since it uses less digits than its factorization.

3836911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3836911680 is about 61942.8097522223. The cubic root of 3836911680 is about 1565.5271395680.

The spelling of 3836911680 in words is "three billion, eight hundred thirty-six million, nine hundred eleven thousand, six hundred eighty".