34400855184 has 80 divisors (see below), whose sum is σ = 91770465600. Its totient is φ = 11097451008.

The previous prime is 34400855179. The next prime is 34400855197. The reversal of 34400855184 is 48155800443.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148522 + ... + 301430.

It is an arithmetic number, because the mean of its divisors is an integer number (1147130820).

Almost surely, 2^34400855184 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 34400855184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45885232800).

34400855184 is an abundant number, since it is smaller than the sum of its proper divisors (57369610416).

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

34400855184 is a wasteful number, since it uses less digits than its factorization.

34400855184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153072 (or 153066 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 34400855184 in words is "thirty-four billion, four hundred million, eight hundred fifty-five thousand, one hundred eighty-four".