34117485984 has 384 divisors, whose sum is σ = 105670656000. Its totient is φ = 10695214080.

The previous prime is 34117485977. The next prime is 34117486009. The reversal of 34117485984 is 48958471143.

34117485984 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 7 + 48 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34117485984.

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, 228976342 + ... + 228976490.

It is an arithmetic number, because the mean of its divisors is an integer number (275184000).

Almost surely, 2^34117485984 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 34117485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328000).

34117485984 is an abundant number, since it is smaller than the sum of its proper divisors (71553170016).

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

34117485984 is a wasteful number, since it uses less digits than its factorization.

34117485984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 34117485984 in words is "thirty-four billion, one hundred seventeen million, four hundred eighty-five thousand, nine hundred eighty-four".