34063561152 has 168 divisors, whose sum is σ = 106583276800. Its totient is φ = 10756820736.

The previous prime is 34063561151. The next prime is 34063561199. The reversal of 34063561152 is 25116536043.

34063561152 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 35 + 611 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34063561151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237849 + ... + 353127.

Almost surely, 2^34063561152 is an apocalyptic number.

34063561152 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 34063561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53291638400).

34063561152 is an abundant number, since it is smaller than the sum of its proper divisors (72519715648).

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

34063561152 is a wasteful number, since it uses less digits than its factorization.

34063561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115325 (or 115303 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 34063561152 in words is "thirty-four billion, sixty-three million, five hundred sixty-one thousand, one hundred fifty-two".