3822480 has 60 divisors (see below), whose sum is σ = 12839580. Its totient is φ = 1019136.

The previous prime is 3822473. The next prime is 3822491. The reversal of 3822480 is 842283.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 3370896 = 672^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3822480² = 29222706700800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1935 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (213993).

Almost surely, 2^3822480 is an apocalyptic number.

3822480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3822480 is an abundant number, since it is smaller than the sum of its proper divisors (9017100).

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

3822480 is a wasteful number, since it uses less digits than its factorization.

3822480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3822480 is about 1955.1163648233. The cubic root of 3822480 is about 156.3561880845.

The spelling of 3822480 in words is "three million, eight hundred twenty-two thousand, four hundred eighty".