3820096512 has 176 divisors, whose sum is σ = 11380992480. Its totient is φ = 1265762304.

The previous prime is 3820096493. The next prime is 3820096517. The reversal of 3820096512 is 2156900283.

3820096512 is a `hidden beast` number, since 38 + 20 + 0 + 96 + 512 = 666.

It is a super-2 number, since 2×3820096512² = 29186274721989132288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3820096517) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6441688 + ... + 6442280.

It is an arithmetic number, because the mean of its divisors is an integer number (64664730).

Almost surely, 2^3820096512 is an apocalyptic number.

3820096512 is a gapful number since it is divisible by the number (32) 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 3820096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690496240).

3820096512 is an abundant number, since it is smaller than the sum of its proper divisors (7560895968).

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

3820096512 is a wasteful number, since it uses less digits than its factorization.

3820096512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3820096512 is about 61806.9293202631. The cubic root of 3820096512 is about 1563.2368295830.

Adding to 3820096512 its reverse (2156900283), we get a palindrome (5976996795).

It can be divided in two parts, 382009 and 6512, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 3820096512 in words is "three billion, eight hundred twenty million, ninety-six thousand, five hundred twelve".