3820711680 has 360 divisors, whose sum is σ = 14005463472. Its totient is φ = 994000896.

The previous prime is 3820711673. The next prime is 3820711703. The reversal of 3820711680 is 861170283.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4457812 + ... + 4458668.

Almost surely, 2^3820711680 is an apocalyptic number.

3820711680 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 3820711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002731736).

3820711680 is an abundant number, since it is smaller than the sum of its proper divisors (10184751792).

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

3820711680 is an equidigital number, since it uses as much as digits as its factorization.

3820711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3820711680 is about 61811.9056493165. The cubic root of 3820711680 is about 1563.3207368574.

The spelling of 3820711680 in words is "three billion, eight hundred twenty million, seven hundred eleven thousand, six hundred eighty".