3816120 has 192 divisors, whose sum is σ = 14774400. Its totient is φ = 779520.

The previous prime is 3816107. The next prime is 3816133. The reversal of 3816120 is 216183.

3816120 is digitally balanced in base 8, 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 (3816107) and next prime (3816133).

It is a Harshad number since it is a multiple of its sum of digits (21).

3816120 is strictly pandigital in base 8.

It is a congruent number.

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, 64651 + ... + 64709.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

Almost surely, 2^3816120 is an apocalyptic number.

3816120 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 3816120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387200).

3816120 is an abundant number, since it is smaller than the sum of its proper divisors (10958280).

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

3816120 is a wasteful number, since it uses less digits than its factorization.

3816120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 3816120 is about 1953.4891860463. The cubic root of 3816120 is about 156.2694226522.

It can be divided in two parts, 381 and 6120, that multiplied together give a triangular number (2331720 = T₂₁₅₉).

The spelling of 3816120 in words is "three million, eight hundred sixteen thousand, one hundred twenty".