3420020200520 has 128 divisors (see below), whose sum is σ = 9609478813440. Its totient is φ = 1064240778240.

The previous prime is 3420020200517. The next prime is 3420020200577. The reversal of 3420020200520 is 250020200243.

It is a super-2 number, since 2×3420020200520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3420020200492 and 3420020200501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982334 + ... + 2793746.

It is an arithmetic number, because the mean of its divisors is an integer number (75074053230).

Almost surely, 2^{3420020200520} 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 3420020200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804739406720).

3420020200520 is an abundant number, since it is smaller than the sum of its proper divisors (6189458612920).

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

3420020200520 is a wasteful number, since it uses less digits than its factorization.

3420020200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812055 (or 1812051 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 3420020200520 its reverse (250020200243), we get a palindrome (3670040400763).

The spelling of 3420020200520 in words is "three trillion, four hundred twenty billion, twenty million, two hundred thousand, five hundred twenty".