3400018000434 has 96 divisors (see below), whose sum is σ = 8296740361728. Its totient is φ = 996941088000.

The previous prime is 3400018000417. The next prime is 3400018000469. The reversal of 3400018000434 is 4340008100043.

It is a junction number, because it is equal to n+sod(n) for n = 3400018000398 and 3400018000407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52637902 + ... + 52702454.

It is an arithmetic number, because the mean of its divisors is an integer number (86424378768).

Almost surely, 2^{3400018000434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400018000434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148370180864).

3400018000434 is an abundant number, since it is smaller than the sum of its proper divisors (4896722361294).

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

3400018000434 is a wasteful number, since it uses less digits than its factorization.

3400018000434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73184 (or 73181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 3400018000434 in words is "three trillion, four hundred billion, eighteen million, four hundred thirty-four", and thus it is an aban number.