34043413152 has 96 divisors (see below), whose sum is σ = 102251140992. Its totient is φ = 9715175424.

The previous prime is 34043413123. The next prime is 34043413211. The reversal of 34043413152 is 25131434043.

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

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, 546348 + ... + 605460.

It is an arithmetic number, because the mean of its divisors is an integer number (1065116052).

Almost surely, 2^34043413152 is an apocalyptic number.

34043413152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34043413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51125570496).

34043413152 is an abundant number, since it is smaller than the sum of its proper divisors (68207727840).

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

34043413152 is a wasteful number, since it uses less digits than its factorization.

34043413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59990 (or 59982 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34043413152 its reverse (25131434043), we get a palindrome (59174847195).

The spelling of 34043413152 in words is "thirty-four billion, forty-three million, four hundred thirteen thousand, one hundred fifty-two".