3455820 has 72 divisors (see below), whose sum is σ = 10666656. Its totient is φ = 905472.

The previous prime is 3455801. The next prime is 3455821. The reversal of 3455820 is 285543.

It is not an unprimeable number, because it can be changed into a prime (3455821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13009 + ... + 13271.

It is an arithmetic number, because the mean of its divisors is an integer number (148148).

Almost surely, 2^3455820 is an apocalyptic number.

3455820 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 3455820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333328).

3455820 is an abundant number, since it is smaller than the sum of its proper divisors (7210836).

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

3455820 is a wasteful number, since it uses less digits than its factorization.

3455820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3455820 is about 1858.9835932573. The cubic root of 3455820 is about 151.1879011063.

The spelling of 3455820 in words is "three million, four hundred fifty-five thousand, eight hundred twenty".