3485820 has 96 divisors (see below), whose sum is σ = 10866240. Its totient is φ = 829440.

The previous prime is 3485819. The next prime is 3485831. The reversal of 3485820 is 285843.

3485820 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31926 + ... + 32034.

It is an arithmetic number, because the mean of its divisors is an integer number (113190).

Almost surely, 2^3485820 is an apocalyptic number.

3485820 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 3485820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433120).

3485820 is an abundant number, since it is smaller than the sum of its proper divisors (7380420).

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

3485820 is a wasteful number, since it uses less digits than its factorization.

3485820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3485820 is about 1867.0350826913. The cubic root of 3485820 is about 151.6241290091.

The spelling of 3485820 in words is "three million, four hundred eighty-five thousand, eight hundred twenty".