3838480 has 20 divisors (see below), whose sum is σ = 8924652. Its totient is φ = 1535360.

The previous prime is 3838477. The next prime is 3838507. The reversal of 3838480 is 848383.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1175056 + 2663424 = 1084^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23911 + ... + 24070.

Almost surely, 2^3838480 is an apocalyptic number.

It is an amenable number.

3838480 is an abundant number, since it is smaller than the sum of its proper divisors (5086172).

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

3838480 is a wasteful number, since it uses less digits than its factorization.

3838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47994 (or 47988 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3838480 is about 1959.2039199634. The cubic root of 3838480 is about 156.5740411185.

It can be divided in two parts, 3838 and 480, that multiplied together give a triangular number (1842240 = T₁₉₁₉).

The spelling of 3838480 in words is "three million, eight hundred thirty-eight thousand, four hundred eighty".