3816000 has 168 divisors, whose sum is σ = 13908024. Its totient is φ = 998400.

The previous prime is 3815963. The next prime is 3816011. The reversal of 3816000 is 6183.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 3779136 = 192^2 + 1944^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71974 + ... + 72026.

Almost surely, 2^3816000 is an apocalyptic number.

3816000 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 3816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954012).

3816000 is an abundant number, since it is smaller than the sum of its proper divisors (10092024).

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

3816000 is a wasteful number, since it uses less digits than its factorization.

3816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3816000 is about 1953.4584715320. The cubic root of 3816000 is about 156.2677846423.

It can be divided in two parts, 3 and 816000, that added together give a triangular number (816003 = T₁₂₇₇).

The spelling of 3816000 in words is "three million, eight hundred sixteen thousand".