3420585920 has 56 divisors (see below), whose sum is σ = 8166506400. Its totient is φ = 1364667392.

The previous prime is 3420585901. The next prime is 3420585923. The reversal of 3420585920 is 295850243.

It is a super-2 number, since 2×3420585920² = 23400816072204492800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420585923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110741 + ... + 138219.

Almost surely, 2^3420585920 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 3420585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083253200).

3420585920 is an abundant number, since it is smaller than the sum of its proper divisors (4745920480).

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

3420585920 is a wasteful number, since it uses less digits than its factorization.

3420585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27885 (or 27875 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 3420585920 is about 58485.7753646132. The cubic root of 3420585920 is about 1506.7232895245.

The spelling of 3420585920 in words is "three billion, four hundred twenty million, five hundred eighty-five thousand, nine hundred twenty".