34895814912 has 648 divisors, whose sum is σ = 124318696320. Its totient is φ = 9367142400.

The previous prime is 34895814887. The next prime is 34895814929. The reversal of 34895814912 is 21941859843.

It is a happy number.

34895814912 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 581 + 49 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231098037 + ... + 231098187.

It is an arithmetic number, because the mean of its divisors is an integer number (191849840).

Almost surely, 2^34895814912 is an apocalyptic number.

34895814912 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 34895814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62159348160).

34895814912 is an abundant number, since it is smaller than the sum of its proper divisors (89422881408).

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

34895814912 is a wasteful number, since it uses less digits than its factorization.

34895814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 34895814912 in words is "thirty-four billion, eight hundred ninety-five million, eight hundred fourteen thousand, nine hundred twelve".