3836689920 has 240 divisors, whose sum is σ = 15186394080. Its totient is φ = 876920832.

The previous prime is 3836689919. The next prime is 3836689949. The reversal of 3836689920 is 299866383.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149386 + ... + 173174.

It is an arithmetic number, because the mean of its divisors is an integer number (63276642).

Almost surely, 2^3836689920 is an apocalyptic number.

3836689920 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 3836689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593197040).

3836689920 is an abundant number, since it is smaller than the sum of its proper divisors (11349704160).

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

3836689920 is a wasteful number, since it uses less digits than its factorization.

3836689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23825 (or 23806 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3836689920 is about 61941.0196880872. The cubic root of 3836689920 is about 1565.4969783328.

The spelling of 3836689920 in words is "three billion, eight hundred thirty-six million, six hundred eighty-nine thousand, nine hundred twenty".