3402112030020 has 384 divisors, whose sum is σ = 12230484295680. Its totient is φ = 775940290560.

The previous prime is 3402112030013. The next prime is 3402112030049. The reversal of 3402112030020 is 200302112043.

3402112030020 is a `hidden beast` number, since 340 + 2 + 1 + 1 + 2 + 0 + 300 + 20 = 666.

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 = 3402112029975 and 3402112030002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361806639 + ... + 361816041.

It is an arithmetic number, because the mean of its divisors is an integer number (31850219520).

Almost surely, 2^{3402112030020} is an apocalyptic number.

3402112030020 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 3402112030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115242147840).

3402112030020 is an abundant number, since it is smaller than the sum of its proper divisors (8828372265660).

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

3402112030020 is a wasteful number, since it uses less digits than its factorization.

3402112030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3402112030020 its reverse (200302112043), we get a palindrome (3602414142063).

The spelling of 3402112030020 in words is "three trillion, four hundred two billion, one hundred twelve million, thirty thousand, twenty".