34880546053080 has 1024 divisors, whose sum is σ = 150706967040000. Its totient is φ = 6968570019840.

The previous prime is 34880546053021. The next prime is 34880546053091. The reversal of 34880546053080 is 8035064508843.

34880546053080 is a `hidden beast` number, since 3 + 48 + 8 + 0 + 5 + 4 + 60 + 530 + 8 + 0 = 666.

It is a super-2 number, since 2×34880546053080² (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 a congruent number.

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, 5342399256 + ... + 5342405784.

It is an arithmetic number, because the mean of its divisors is an integer number (147174772500).

Almost surely, 2^{34880546053080} is an apocalyptic number.

34880546053080 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 34880546053080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75353483520000).

34880546053080 is an abundant number, since it is smaller than the sum of its proper divisors (115826420986920).

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

34880546053080 is a wasteful number, since it uses less digits than its factorization.

34880546053080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9449 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 34880546053080 in words is "thirty-four trillion, eight hundred eighty billion, five hundred forty-six million, fifty-three thousand, eighty".