34576145538 has 96 divisors (see below), whose sum is σ = 81453947328. Its totient is φ = 9699302400.

The previous prime is 34576145519. The next prime is 34576145551. The reversal of 34576145538 is 83554167543.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148656 + ... + 1178372.

It is an arithmetic number, because the mean of its divisors is an integer number (848478618).

Almost surely, 2^34576145538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34576145538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40726973664).

34576145538 is an abundant number, since it is smaller than the sum of its proper divisors (46877801790).

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

34576145538 is a wasteful number, since it uses less digits than its factorization.

34576145538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29828 (or 29811 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The spelling of 34576145538 in words is "thirty-four billion, five hundred seventy-six million, one hundred forty-five thousand, five hundred thirty-eight".