34852727520 has 768 divisors, whose sum is σ = 140216832000. Its totient is φ = 8014381056.

The previous prime is 34852727519. The next prime is 34852727551. The reversal of 34852727520 is 2572725843.

34852727520 is a `hidden beast` number, since 3 + 4 + 8 + 52 + 72 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94966377 + ... + 94966743.

It is an arithmetic number, because the mean of its divisors is an integer number (182574000).

Almost surely, 2^34852727520 is an apocalyptic number.

34852727520 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 34852727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416000).

34852727520 is an abundant number, since it is smaller than the sum of its proper divisors (105364104480).

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

34852727520 is a wasteful number, since it uses less digits than its factorization.

34852727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 34852727520 in words is "thirty-four billion, eight hundred fifty-two million, seven hundred twenty-seven thousand, five hundred twenty".