34270444299168 has 2304 divisors, whose sum is σ = 135998134272000. Its totient is φ = 8401792573440.

The previous prime is 34270444299163. The next prime is 34270444299229. The reversal of 34270444299168 is 86199244407243.

34270444299168 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 0 + 44 + 429 + 9 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34270444299163) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39988849396 + ... + 39988850252.

It is an arithmetic number, because the mean of its divisors is an integer number (59026968000).

Almost surely, 2^{34270444299168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34270444299168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67999067136000).

34270444299168 is an abundant number, since it is smaller than the sum of its proper divisors (101727689972832).

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

34270444299168 is a wasteful number, since it uses less digits than its factorization.

34270444299168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 34270444299168 in words is "thirty-four trillion, two hundred seventy billion, four hundred forty-four million, two hundred ninety-nine thousand, one hundred sixty-eight".