34529100480 has 504 divisors, whose sum is σ = 138779969328. Its totient is φ = 7856787456.

The previous prime is 34529100479. The next prime is 34529100509. The reversal of 34529100480 is 8400192543.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43323442 + ... + 43324238.

It is an arithmetic number, because the mean of its divisors is an integer number (275357082).

Almost surely, 2^34529100480 is an apocalyptic number.

34529100480 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 34529100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69389984664).

34529100480 is an abundant number, since it is smaller than the sum of its proper divisors (104250868848).

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

34529100480 is a wasteful number, since it uses less digits than its factorization.

34529100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 34529100480 in words is "thirty-four billion, five hundred twenty-nine million, one hundred thousand, four hundred eighty".