34914454831872 has 2304 divisors, whose sum is σ = 142788280320000. Its totient is φ = 8310590668800.

The previous prime is 34914454831871. The next prime is 34914454831909. The reversal of 34914454831872 is 27813845441943.

34914454831872 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 4 + 4 + 548 + 3 + 1 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (34914454831871) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15360515728 + ... + 15360518000.

It is an arithmetic number, because the mean of its divisors is an integer number (61974080000).

Almost surely, 2^{34914454831872} is an apocalyptic number.

34914454831872 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 34914454831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71394140160000).

34914454831872 is an abundant number, since it is smaller than the sum of its proper divisors (107873825488128).

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

34914454831872 is a wasteful number, since it uses less digits than its factorization.

34914454831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2346 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 34914454831872 in words is "thirty-four trillion, nine hundred fourteen billion, four hundred fifty-four million, eight hundred thirty-one thousand, eight hundred seventy-two".