3816357120 has 180 divisors, whose sum is σ = 13655994660. Its totient is φ = 1017667584.

The previous prime is 3816357101. The next prime is 3816357131. The reversal of 3816357120 is 217536183.

3816357120 is a `hidden beast` number, since 3 + 8 + 1 + 63 + 571 + 20 = 666.

3816357120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1390991616 + 2425365504 = 37296^2 + 49248^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85276 + ... + 122084.

It is an arithmetic number, because the mean of its divisors is an integer number (75866637).

Almost surely, 2^3816357120 is an apocalyptic number.

3816357120 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 3816357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827997330).

3816357120 is an abundant number, since it is smaller than the sum of its proper divisors (9839637540).

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

3816357120 is an equidigital number, since it uses as much as digits as its factorization.

3816357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36842 (or 36819 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3816357120 is about 61776.6713250237. The cubic root of 3816357120 is about 1562.7265925888.

The spelling of 3816357120 in words is "three billion, eight hundred sixteen million, three hundred fifty-seven thousand, one hundred twenty".