34436744144 has 80 divisors (see below), whose sum is σ = 79726057920. Its totient is φ = 14224250880.

The previous prime is 34436744141. The next prime is 34436744189. The reversal of 34436744144 is 44144763443.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 34436744095 and 34436744104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34436744141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111674 + ... + 285209.

It is an arithmetic number, because the mean of its divisors is an integer number (996575724).

Almost surely, 2^34436744144 is an apocalyptic number.

34436744144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34436744144 is an abundant number, since it is smaller than the sum of its proper divisors (45289313776).

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

34436744144 is a wasteful number, since it uses less digits than its factorization.

34436744144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396948 (or 396942 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 44.

The spelling of 34436744144 in words is "thirty-four billion, four hundred thirty-six million, seven hundred forty-four thousand, one hundred forty-four".