3400204310120 has 32 divisors (see below), whose sum is σ = 7828377369120. Its totient is φ = 1328451915840.

The previous prime is 3400204310089. The next prime is 3400204310141. The reversal of 3400204310120 is 210134020043.

It is a super-2 number, since 2×3400204310120² (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 = 3400204310092 and 3400204310101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988429766 + ... + 988433205.

It is an arithmetic number, because the mean of its divisors is an integer number (244636792785).

Almost surely, 2^{3400204310120} is an apocalyptic number.

It is an amenable number.

3400204310120 is an abundant number, since it is smaller than the sum of its proper divisors (4428173059000).

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

3400204310120 is a wasteful number, since it uses less digits than its factorization.

3400204310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976863025 (or 1976863021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3400204310120 its reverse (210134020043), we get a palindrome (3610338330163).

The spelling of 3400204310120 in words is "three trillion, four hundred billion, two hundred four million, three hundred ten thousand, one hundred twenty".