34230755520 has 1120 divisors, whose sum is σ = 141268216320. Its totient is φ = 7803371520.

The previous prime is 34230755513. The next prime is 34230755567. The reversal of 34230755520 is 2555703243.

34230755520 is a `hidden beast` number, since 3 + 4 + 2 + 30 + 75 + 552 + 0 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 302926984 + ... + 302927096.

It is an arithmetic number, because the mean of its divisors is an integer number (126132336).

Almost surely, 2^34230755520 is an apocalyptic number.

34230755520 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 34230755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70634108160).

34230755520 is an abundant number, since it is smaller than the sum of its proper divisors (107037460800).

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

34230755520 is a wasteful number, since it uses less digits than its factorization.

34230755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The spelling of 34230755520 in words is "thirty-four billion, two hundred thirty million, seven hundred fifty-five thousand, five hundred twenty".