34142552544 has 96 divisors (see below), whose sum is σ = 92481764256. Its totient is φ = 11022049280.

The previous prime is 34142552539. The next prime is 34142552557. The reversal of 34142552544 is 44525524143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507574 + ... + 570890.

It is an arithmetic number, because the mean of its divisors is an integer number (963351711).

Almost surely, 2^34142552544 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 34142552544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46240882128).

34142552544 is an abundant number, since it is smaller than the sum of its proper divisors (58339211712).

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

34142552544 is a wasteful number, since it uses less digits than its factorization.

34142552544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63508 (or 63500 counting only the distinct ones).

The product of its digits is 384000, while the sum is 39.

The spelling of 34142552544 in words is "thirty-four billion, one hundred forty-two million, five hundred fifty-two thousand, five hundred forty-four".