34491251173344 has 384 divisors, whose sum is σ = 110420682624000. Its totient is φ = 9219141550080.

The previous prime is 34491251173319. The next prime is 34491251173369. The reversal of 34491251173344 is 44337115219443.

It is an interprime number because it is at equal distance from previous prime (34491251173319) and next prime (34491251173369).

It is a super-2 number, since 2×34491251173344² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79430932 + ... + 79863980.

It is an arithmetic number, because the mean of its divisors is an integer number (287553861000).

Almost surely, 2^{34491251173344} 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 34491251173344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55210341312000).

34491251173344 is an abundant number, since it is smaller than the sum of its proper divisors (75929431450656).

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

34491251173344 is a wasteful number, since it uses less digits than its factorization.

34491251173344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433226 (or 433218 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 34491251173344 in words is "thirty-four trillion, four hundred ninety-one billion, two hundred fifty-one million, one hundred seventy-three thousand, three hundred forty-four".