34145614080 has 216 divisors, whose sum is σ = 119362114872. Its totient is φ = 9011331072.

The previous prime is 34145614037. The next prime is 34145614093. The reversal of 34145614080 is 8041654143.

34145614080 is a `hidden beast` number, since 3 + 4 + 14 + 561 + 4 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47775744 + 34097838336 = 6912^2 + 184656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102162 + ... + 1132718.

Almost surely, 2^34145614080 is an apocalyptic number.

34145614080 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 34145614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59681057436).

34145614080 is an abundant number, since it is smaller than the sum of its proper divisors (85216500792).

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

34145614080 is a wasteful number, since it uses less digits than its factorization.

34145614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30681 (or 30664 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34145614080 in words is "thirty-four billion, one hundred forty-five million, six hundred fourteen thousand, eighty".