3836832720 has 320 divisors, whose sum is σ = 13987676160. Its totient is φ = 851963904.

The previous prime is 3836832719. The next prime is 3836832721. The reversal of 3836832720 is 272386383.

3836832720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3836832719) and next prime (3836832721).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836832721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10017649 + ... + 10018031.

It is an arithmetic number, because the mean of its divisors is an integer number (43711488).

Almost surely, 2^3836832720 is an apocalyptic number.

3836832720 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 3836832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993838080).

3836832720 is an abundant number, since it is smaller than the sum of its proper divisors (10150843440).

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

3836832720 is a wasteful number, since it uses less digits than its factorization.

3836832720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3836832720 is about 61942.1723868319. The cubic root of 3836832720 is about 1565.5164004735.

The spelling of 3836832720 in words is "three billion, eight hundred thirty-six million, eight hundred thirty-two thousand, seven hundred twenty".