34479867663360 has 2112 divisors, whose sum is σ = 147924801024000. Its totient is φ = 7693734150144.

The previous prime is 34479867663359. The next prime is 34479867663379. The reversal of 34479867663360 is 6336676897443.

It is a happy number.

34479867663360 is a `hidden beast` number, since 3 + 4 + 479 + 8 + 6 + 7 + 66 + 33 + 60 = 666.

It is a super-2 number, since 2×34479867663360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18350114901 + ... + 18350116779.

It is an arithmetic number, because the mean of its divisors is an integer number (70040152000).

Almost surely, 2^{34479867663360} is an apocalyptic number.

34479867663360 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 34479867663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73962400512000).

34479867663360 is an abundant number, since it is smaller than the sum of its proper divisors (113444933360640).

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

34479867663360 is an equidigital number, since it uses as much as digits as its factorization.

34479867663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 72.

The spelling of 34479867663360 in words is "thirty-four trillion, four hundred seventy-nine billion, eight hundred sixty-seven million, six hundred sixty-three thousand, three hundred sixty".