34145552520 has 192 divisors, whose sum is σ = 115971523200. Its totient is φ = 8696540160.

The previous prime is 34145552461. The next prime is 34145552533. The reversal of 34145552520 is 2525554143.

34145552520 is a `hidden beast` number, since 3 + 41 + 45 + 5 + 52 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6298371 + ... + 6303789.

It is an arithmetic number, because the mean of its divisors is an integer number (604018350).

Almost surely, 2^34145552520 is an apocalyptic number.

34145552520 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 34145552520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985761600).

34145552520 is an abundant number, since it is smaller than the sum of its proper divisors (81825970680).

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

34145552520 is a wasteful number, since it uses less digits than its factorization.

34145552520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 34145552520 in words is "thirty-four billion, one hundred forty-five million, five hundred fifty-two thousand, five hundred twenty".