34235361000 has 384 divisors, whose sum is σ = 118272960000. Its totient is φ = 8930188800.

The previous prime is 34235360989. The next prime is 34235361001. The reversal of 34235361000 is 16353243.

It is a happy number.

34235361000 is a `hidden beast` number, since 3 + 4 + 23 + 536 + 100 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34235361001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127268866 + ... + 127269134.

It is an arithmetic number, because the mean of its divisors is an integer number (308002500).

Almost surely, 2^34235361000 is an apocalyptic number.

34235361000 is a gapful number since it is divisible by the number (30) 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 34235361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136480000).

34235361000 is an abundant number, since it is smaller than the sum of its proper divisors (84037599000).

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

34235361000 is a wasteful number, since it uses less digits than its factorization.

34235361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 34235361000 in words is "thirty-four billion, two hundred thirty-five million, three hundred sixty-one thousand".