3822120036 has 144 divisors (see below), whose sum is σ = 11631320064. Its totient is φ = 1034624448.

The previous prime is 3822119993. The next prime is 3822120077. The reversal of 3822120036 is 6300212283.

3822120036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3822119991 and 3822120009.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617091 + ... + 623253.

It is an arithmetic number, because the mean of its divisors is an integer number (80773056).

Almost surely, 2^3822120036 is an apocalyptic number.

3822120036 is a gapful number since it is divisible by the number (36) 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 3822120036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815660032).

3822120036 is an abundant number, since it is smaller than the sum of its proper divisors (7809200028).

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

3822120036 is a wasteful number, since it uses less digits than its factorization.

3822120036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3822120036 is about 61823.2968710016. The cubic root of 3822120036 is about 1563.5127989525.

The spelling of 3822120036 in words is "three billion, eight hundred twenty-two million, one hundred twenty thousand, thirty-six".