34486124544 has 384 divisors, whose sum is σ = 106487559360. Its totient is φ = 11147673600.

The previous prime is 34486124531. The next prime is 34486124567. The reversal of 34486124544 is 44542168443.

It is a happy number.

34486124544 is a `hidden beast` number, since 3 + 4 + 4 + 86 + 1 + 24 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 34486124544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485720029 + ... + 485720099.

Almost surely, 2^34486124544 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 34486124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53243779680).

34486124544 is an abundant number, since it is smaller than the sum of its proper divisors (72001434816).

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

34486124544 is an frugal number, since it uses more digits than its factorization.

34486124544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 34486124544 in words is "thirty-four billion, four hundred eighty-six million, one hundred twenty-four thousand, five hundred forty-four".