34364144144 has 40 divisors (see below), whose sum is σ = 72644070720. Its totient is φ = 15617750400.

The previous prime is 34364144117. The next prime is 34364144167. The reversal of 34364144144 is 44144146343.

It is a junction number, because it is equal to n+sod(n) for n = 34364144098 and 34364144107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1876022 + ... + 1894250.

It is an arithmetic number, because the mean of its divisors is an integer number (1816101768).

Almost surely, 2^34364144144 is an apocalyptic number.

It is an amenable number.

34364144144 is an abundant number, since it is smaller than the sum of its proper divisors (38279926576).

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

34364144144 is a wasteful number, since it uses less digits than its factorization.

34364144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28959 (or 28953 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The spelling of 34364144144 in words is "thirty-four billion, three hundred sixty-four million, one hundred forty-four thousand, one hundred forty-four".