3084820 has 48 divisors (see below), whose sum is σ = 7051968. Its totient is φ = 1128960.

The previous prime is 3084797. The next prime is 3084833. The reversal of 3084820 is 284803.

3084820 = T₁₅₁ + T₁₅₂ + ... + T₂₇₉.

It is a super-2 number, since 2×3084820² = 19032228864800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14515 + ... + 14725.

It is an arithmetic number, because the mean of its divisors is an integer number (146916).

Almost surely, 2^3084820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525984).

3084820 is an abundant number, since it is smaller than the sum of its proper divisors (3967148).

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

3084820 is a wasteful number, since it uses less digits than its factorization.

3084820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3084820 is about 1756.3655655928. The cubic root of 3084820 is about 145.5715845405.

The spelling of 3084820 in words is "three million, eighty-four thousand, eight hundred twenty".