3400300020 has 96 divisors (see below), whose sum is σ = 10283414400. Its totient is φ = 834531840.

The previous prime is 3400300019. The next prime is 3400300073. The reversal of 3400300020 is 200030043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3400299969 and 3400300005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265975 + ... + 278465.

It is an arithmetic number, because the mean of its divisors is an integer number (107118900).

Almost surely, 2^3400300020 is an apocalyptic number.

3400300020 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 3400300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141707200).

3400300020 is an abundant number, since it is smaller than the sum of its proper divisors (6883114380).

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

3400300020 is a wasteful number, since it uses less digits than its factorization.

3400300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865 (or 12863 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3400300020 is about 58312.0915419778. The cubic root of 3400300020 is about 1503.7388241642.

Adding to 3400300020 its reverse (200030043), we get a palindrome (3600330063).

The spelling of 3400300020 in words is "three billion, four hundred million, three hundred thousand, twenty".