3820813920 has 576 divisors, whose sum is σ = 17220542976. Its totient is φ = 746864640.

The previous prime is 3820813897. The next prime is 3820813921. The reversal of 3820813920 is 293180283.

It is a happy number.

It is a super-2 number, since 2×3820813920² = 29197238022531532800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820813921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1883947 + ... + 1885973.

It is an arithmetic number, because the mean of its divisors is an integer number (29896776).

Almost surely, 2^3820813920 is an apocalyptic number.

3820813920 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 3820813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610271488).

3820813920 is an abundant number, since it is smaller than the sum of its proper divisors (13399729056).

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

3820813920 is a wasteful number, since it uses less digits than its factorization.

3820813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3820813920 is about 61812.7326689251. The cubic root of 3820813920 is about 1563.3346812479.

The spelling of 3820813920 in words is "three billion, eight hundred twenty million, eight hundred thirteen thousand, nine hundred twenty".