34443831312 has 160 divisors (see below), whose sum is σ = 108118080000. Its totient is φ = 10412012160.

The previous prime is 34443831281. The next prime is 34443831341. The reversal of 34443831312 is 21313834443.

34443831312 is a `hidden beast` number, since 3 + 4 + 443 + 83 + 131 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1982439 + ... + 1999737.

It is an arithmetic number, because the mean of its divisors is an integer number (675738000).

Almost surely, 2^34443831312 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 34443831312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54059040000).

34443831312 is an abundant number, since it is smaller than the sum of its proper divisors (73674248688).

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

34443831312 is a wasteful number, since it uses less digits than its factorization.

34443831312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17746 (or 17734 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 34443831312 in words is "thirty-four billion, four hundred forty-three million, eight hundred thirty-one thousand, three hundred twelve".