34357105152 has 320 divisors, whose sum is σ = 104850789120. Its totient is φ = 11242229760.

The previous prime is 34357105141. The next prime is 34357105157. The reversal of 34357105152 is 25150175343.

34357105152 is a `hidden beast` number, since 3 + 435 + 71 + 0 + 5 + 152 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34357105157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68304133 + ... + 68304635.

It is an arithmetic number, because the mean of its divisors is an integer number (327658716).

Almost surely, 2^34357105152 is an apocalyptic number.

34357105152 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 34357105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52425394560).

34357105152 is an abundant number, since it is smaller than the sum of its proper divisors (70493683968).

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

34357105152 is an frugal number, since it uses more digits than its factorization.

34357105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 569 counting only the distinct ones).

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

The spelling of 34357105152 in words is "thirty-four billion, three hundred fifty-seven million, one hundred five thousand, one hundred fifty-two".