34439879160 has 256 divisors, whose sum is σ = 119314944000. Its totient is φ = 8825725440.

The previous prime is 34439879147. The next prime is 34439879167. The reversal of 34439879160 is 6197893443.

It is a happy number.

It is a super-2 number, since 2×34439879160² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34439879097 and 34439879106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34439879167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6981895 + ... + 6986825.

It is an arithmetic number, because the mean of its divisors is an integer number (466074000).

Almost surely, 2^34439879160 is an apocalyptic number.

34439879160 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 34439879160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59657472000).

34439879160 is an abundant number, since it is smaller than the sum of its proper divisors (84875064840).

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

34439879160 is a wasteful number, since it uses less digits than its factorization.

34439879160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 34439879160 in words is "thirty-four billion, four hundred thirty-nine million, eight hundred seventy-nine thousand, one hundred sixty".