34479816549120 has 1440 divisors, whose sum is σ = 128915367533568. Its totient is φ = 8791923326976.

The previous prime is 34479816549049. The next prime is 34479816549127. The reversal of 34479816549120 is 2194561897443.

34479816549120 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 9 + 81 + 6 + 549 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (34479816549127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68548342789 + ... + 68548343291.

It is a 1-persistent number, because it is pandigital, but 2⋅34479816549120 = 68959633098240 is not.

Almost surely, 2^{34479816549120} is an apocalyptic number.

34479816549120 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 34479816549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64457683766784).

34479816549120 is an abundant number, since it is smaller than the sum of its proper divisors (94435550984448).

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

34479816549120 is a wasteful number, since it uses less digits than its factorization.

34479816549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 34479816549120 in words is "thirty-four trillion, four hundred seventy-nine billion, eight hundred sixteen million, five hundred forty-nine thousand, one hundred twenty".