34573255920 has 800 divisors, whose sum is σ = 147956244480. Its totient is φ = 7308195840.

The previous prime is 34573255903. The next prime is 34573255949. The reversal of 34573255920 is 2955237543.

34573255920 is a `hidden beast` number, since 3 + 4 + 5 + 73 + 2 + 559 + 20 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32341146 + ... + 32342214.

Almost surely, 2^34573255920 is an apocalyptic number.

34573255920 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 34573255920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73978122240).

34573255920 is an abundant number, since it is smaller than the sum of its proper divisors (113382988560).

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

34573255920 is a wasteful number, since it uses less digits than its factorization.

34573255920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 34573255920 in words is "thirty-four billion, five hundred seventy-three million, two hundred fifty-five thousand, nine hundred twenty".