3803280 has 160 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 878592.

The previous prime is 3803251. The next prime is 3803311. The reversal of 3803280 is 823083.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3803280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71734 + ... + 71786.

Almost surely, 2^3803280 is an apocalyptic number.

3803280 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 3803280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

3803280 is an abundant number, since it is smaller than the sum of its proper divisors (9695856).

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

3803280 is a wasteful number, since it uses less digits than its factorization.

3803280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3803280 is about 1950.1999897446. The cubic root of 3803280 is about 156.0939604892.

The spelling of 3803280 in words is "three million, eight hundred three thousand, two hundred eighty".