3818220120 has 768 divisors, whose sum is σ = 15718510080. Its totient is φ = 821145600.

The previous prime is 3818220103. The next prime is 3818220137. The reversal of 3818220120 is 210228183.

3818220120 is a `hidden beast` number, since 381 + 82 + 201 + 2 + 0 = 666.

3818220120 is digitally balanced in base 2, because in such base 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 (3818220103) and next prime (3818220137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56988327 + ... + 56988393.

It is an arithmetic number, because the mean of its divisors is an integer number (20466810).

Almost surely, 2^3818220120 is an apocalyptic number.

3818220120 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 3818220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859255040).

3818220120 is an abundant number, since it is smaller than the sum of its proper divisors (11900289960).

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

3818220120 is a wasteful number, since it uses less digits than its factorization.

3818220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3818220120 is about 61791.7479927539. The cubic root of 3818220120 is about 1562.9808390635.

The spelling of 3818220120 in words is "three billion, eight hundred eighteen million, two hundred twenty thousand, one hundred twenty".