3820320 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 870912.

The previous prime is 3820319. The next prime is 3820321. The reversal of 3820320 is 230283.

3820320 = T₆₁ + T₆₂ + ... + T₂₈₄.

It is an interprime number because it is at equal distance from previous prime (3820319) and next prime (3820321).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3820293 and 3820302.

It is not an unprimeable number, because it can be changed into a prime (3820321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9891 + ... + 10269.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 2^3820320 is an apocalyptic number.

3820320 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 3820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

3820320 is an abundant number, since it is smaller than the sum of its proper divisors (11118240).

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

3820320 is a wasteful number, since it uses less digits than its factorization.

3820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3820320 is about 1954.5638899765. The cubic root of 3820320 is about 156.3267313792.

The spelling of 3820320 in words is "three million, eight hundred twenty thousand, three hundred twenty".