34319812944 has 80 divisors (see below), whose sum is σ = 91097774528. Its totient is φ = 11125610496.

The previous prime is 34319812939. The next prime is 34319812949. The reversal of 34319812944 is 44921891343.

It is an interprime number because it is at equal distance from previous prime (34319812939) and next prime (34319812949).

It is a super-2 number, since 2×34319812944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34319812893 and 34319812902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34319812949) 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, 6563259 + ... + 6568485.

Almost surely, 2^34319812944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34319812944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45548887264).

34319812944 is an abundant number, since it is smaller than the sum of its proper divisors (56777961584).

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

34319812944 is a wasteful number, since it uses less digits than its factorization.

34319812944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 8966 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 34319812944 in words is "thirty-four billion, three hundred nineteen million, eight hundred twelve thousand, nine hundred forty-four".