34344542124 has 72 divisors (see below), whose sum is σ = 89852686560. Its totient is φ = 11048040192.

The previous prime is 34344542093. The next prime is 34344542159. The reversal of 34344542124 is 42124544343.

34344542124 is a `hidden beast` number, since 3 + 434 + 4 + 5 + 4 + 212 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2522824 + ... + 2536400.

It is an arithmetic number, because the mean of its divisors is an integer number (1247953980).

Almost surely, 2^34344542124 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 34344542124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44926343280).

34344542124 is an abundant number, since it is smaller than the sum of its proper divisors (55508144436).

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

34344542124 is a wasteful number, since it uses less digits than its factorization.

34344542124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16039 (or 16034 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The spelling of 34344542124 in words is "thirty-four billion, three hundred forty-four million, five hundred forty-two thousand, one hundred twenty-four".