3032820 has 144 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 661248.

The previous prime is 3032801. The next prime is 3032831. The reversal of 3032820 is 282303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3032793 and 3032802.

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, 36499 + ... + 36581.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

Almost surely, 2^3032820 is an apocalyptic number.

3032820 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 3032820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3032820 is an abundant number, since it is smaller than the sum of its proper divisors (7974540).

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

3032820 is a wasteful number, since it uses less digits than its factorization.

3032820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3032820 is about 1741.4993540050. The cubic root of 3032820 is about 144.7489910173.

3032820 divided by its sum of digits (18) gives a triangular number (168490 = T₅₈₀).

The spelling of 3032820 in words is "three million, thirty-two thousand, eight hundred twenty".