3405004020 has 192 divisors, whose sum is σ = 11826017280. Its totient is φ = 806198400.

The previous prime is 3405003997. The next prime is 3405004033. The reversal of 3405004020 is 204005043.

It is a happy number.

It is a super-3 number, since 3×3405004020³ (a number of 30 digits) contains 333 as substring.

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 = 3405003984 and 3405004002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248755 + ... + 262085.

It is an arithmetic number, because the mean of its divisors is an integer number (61593840).

Almost surely, 2^3405004020 is an apocalyptic number.

3405004020 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 3405004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913008640).

3405004020 is an abundant number, since it is smaller than the sum of its proper divisors (8421013260).

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

3405004020 is a wasteful number, since it uses less digits than its factorization.

3405004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13403 (or 13395 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3405004020 is about 58352.4122894675. The cubic root of 3405004020 is about 1504.4319324201.

Adding to 3405004020 its reverse (204005043), we get a palindrome (3609009063).

The spelling of 3405004020 in words is "three billion, four hundred five million, four thousand, twenty".