34350530544 has 480 divisors, whose sum is σ = 116056571904. Its totient is φ = 9731715840.

The previous prime is 34350530509. The next prime is 34350530573. The reversal of 34350530544 is 44503505343.

34350530544 is a `hidden beast` number, since 34 + 3 + 50 + 5 + 30 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34350530499 and 34350530508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46231837 + ... + 46232579.

Almost surely, 2^34350530544 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 34350530544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58028285952).

34350530544 is an abundant number, since it is smaller than the sum of its proper divisors (81706041360).

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

34350530544 is a wasteful number, since it uses less digits than its factorization.

34350530544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 34350530544 in words is "thirty-four billion, three hundred fifty million, five hundred thirty thousand, five hundred forty-four".