34051244160 has 128 divisors (see below), whose sum is σ = 109267704000. Its totient is φ = 9019314176.

The previous prime is 34051244159. The next prime is 34051244177. The reversal of 34051244160 is 6144215043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 226567 + ... + 345593.

Almost surely, 2^34051244160 is an apocalyptic number.

34051244160 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 34051244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54633852000).

34051244160 is an abundant number, since it is smaller than the sum of its proper divisors (75216459840).

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

34051244160 is a wasteful number, since it uses less digits than its factorization.

34051244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119198 (or 119186 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 34051244160 in words is "thirty-four billion, fifty-one million, two hundred forty-four thousand, one hundred sixty".