3853320 has 64 divisors (see below), whose sum is σ = 11689920. Its totient is φ = 1016064.

The previous prime is 3853313. The next prime is 3853321. The reversal of 3853320 is 233583.

It is a super-3 number, since 3×3853320³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3853321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19462 + ... + 19658.

It is an arithmetic number, because the mean of its divisors is an integer number (182655).

Almost surely, 2^3853320 is an apocalyptic number.

3853320 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 3853320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844960).

3853320 is an abundant number, since it is smaller than the sum of its proper divisors (7836600).

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

3853320 is a wasteful number, since it uses less digits than its factorization.

3853320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3853320 is about 1962.9875190637. The cubic root of 3853320 is about 156.7755593240.

The spelling of 3853320 in words is "three million, eight hundred fifty-three thousand, three hundred twenty".