34618140672000 has 960 divisors, whose sum is σ = 122424474332160. Its totient is φ = 8657043456000.

The previous prime is 34618140671971. The next prime is 34618140672109. The reversal of 34618140672000 is 27604181643.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×34618140672000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45017087616 + ... + 45017088384.

It is an arithmetic number, because the mean of its divisors is an integer number (127525494096).

Almost surely, 2^{34618140672000} is an apocalyptic number.

34618140672000 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 34618140672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61212237166080).

34618140672000 is an abundant number, since it is smaller than the sum of its proper divisors (87806333660160).

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

34618140672000 is an equidigital number, since it uses as much as digits as its factorization.

34618140672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 34618140672000 in words is "thirty-four trillion, six hundred eighteen billion, one hundred forty million, six hundred seventy-two thousand".