3822840 has 192 divisors, whose sum is σ = 14938560. Its totient is φ = 829440.

The previous prime is 3822823. The next prime is 3822851. The reversal of 3822840 is 482283.

3822840 is a `hidden beast` number, since 382 + 284 + 0 = 666.

3822840 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3822840² = 29228211331200, which contains 22 as substring.

3822840 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93220 + ... + 93260.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 2^3822840 is an apocalyptic number.

3822840 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 3822840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

3822840 is an abundant number, since it is smaller than the sum of its proper divisors (11115720).

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

3822840 is a wasteful number, since it uses less digits than its factorization.

3822840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

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

The square root of 3822840 is about 1955.2084287871. The cubic root of 3822840 is about 156.3610964564.

The spelling of 3822840 in words is "three million, eight hundred twenty-two thousand, eight hundred forty".