34150057056 has 288 divisors, whose sum is σ = 106243038720. Its totient is φ = 10669480704.

The previous prime is 34150057043. The next prime is 34150057057. The reversal of 34150057056 is 65075005143.

34150057056 is a `hidden beast` number, since 34 + 1 + 5 + 0 + 0 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34150057056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34150057057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32125581 + ... + 32126643.

It is an arithmetic number, because the mean of its divisors is an integer number (368899440).

Almost surely, 2^34150057056 is an apocalyptic number.

34150057056 is a gapful number since it is divisible by the number (36) 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 34150057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121519360).

34150057056 is an abundant number, since it is smaller than the sum of its proper divisors (72092981664).

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

34150057056 is a wasteful number, since it uses less digits than its factorization.

34150057056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 34150057056 in words is "thirty-four billion, one hundred fifty million, fifty-seven thousand, fifty-six".