34513322544 has 120 divisors (see below), whose sum is σ = 98945198352. Its totient is φ = 11224442880.

The previous prime is 34513322507. The next prime is 34513322563. The reversal of 34513322544 is 44522331543.

34513322544 is a `hidden beast` number, since 34 + 51 + 3 + 32 + 2 + 544 = 666.

It is a super-3 number, since 3×34513322544³ (a number of 33 digits) contains 333 as substring.

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 = 34513322499 and 34513322508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6790084 + ... + 6795164.

Almost surely, 2^34513322544 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 34513322544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49472599176).

34513322544 is an abundant number, since it is smaller than the sum of its proper divisors (64431875808).

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

34513322544 is a wasteful number, since it uses less digits than its factorization.

34513322544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6226 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 34513322544 in words is "thirty-four billion, five hundred thirteen million, three hundred twenty-two thousand, five hundred forty-four".