34107449483520 has 2304 divisors, whose sum is σ = 150941152051200. Its totient is φ = 7122288476160.

The previous prime is 34107449483507. The next prime is 34107449483537. The reversal of 34107449483520 is 2538494470143.

34107449483520 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 74 + 4 + 9 + 48 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×34107449483520² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13626626589 + ... + 13626629091.

It is an arithmetic number, because the mean of its divisors is an integer number (65512652800).

Almost surely, 2^{34107449483520} is an apocalyptic number.

34107449483520 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 34107449483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75470576025600).

34107449483520 is an abundant number, since it is smaller than the sum of its proper divisors (116833702567680).

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

34107449483520 is a wasteful number, since it uses less digits than its factorization.

34107449483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 34107449483520 in words is "thirty-four trillion, one hundred seven billion, four hundred forty-nine million, four hundred eighty-three thousand, five hundred twenty".