34444131313472 has 56 divisors (see below), whose sum is σ = 70556312178432. Its totient is φ = 16666184908800.

The previous prime is 34444131313429. The next prime is 34444131313483. The reversal of 34444131313472 is 27431313144443.

It is a congruent number.

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, 121757663 + ... + 122040225.

Almost surely, 2^{34444131313472} is an apocalyptic number.

34444131313472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34444131313472 is an abundant number, since it is smaller than the sum of its proper divisors (36112180864960).

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

34444131313472 is a wasteful number, since it uses less digits than its factorization.

34444131313472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344047 (or 344037 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 44.

The spelling of 34444131313472 in words is "thirty-four trillion, four hundred forty-four billion, one hundred thirty-one million, three hundred thirteen thousand, four hundred seventy-two".