3808320 has 56 divisors (see below), whose sum is σ = 12094464. Its totient is φ = 1015296.

The previous prime is 3808307. The next prime is 3808327. The reversal of 3808320 is 238083.

It is a super-3 number, since 3×3808320³ (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 (3808327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1024 + ... + 2943.

Almost surely, 2^3808320 is an apocalyptic number.

3808320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3808320 is an abundant number, since it is smaller than the sum of its proper divisors (8286144).

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

3808320 is a wasteful number, since it uses less digits than its factorization.

3808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3977 counting only the distinct ones).

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

The square root of 3808320 is about 1951.4917371078. The cubic root of 3808320 is about 156.1628805009.

The spelling of 3808320 in words is "three million, eight hundred eight thousand, three hundred twenty".