34575552000 has 1280 divisors, whose sum is σ = 148914754560. Its totient is φ = 7815168000.

The previous prime is 34575551993. The next prime is 34575552001. The reversal of 34575552000 is 25557543.

34575552000 is a `hidden beast` number, since 34 + 5 + 75 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×34575552000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34575552001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323135947 + ... + 323136053.

It is an arithmetic number, because the mean of its divisors is an integer number (116339652).

Almost surely, 2^34575552000 is an apocalyptic number.

34575552000 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 34575552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74457377280).

34575552000 is an abundant number, since it is smaller than the sum of its proper divisors (114339202560).

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

34575552000 is a wasteful number, since it uses less digits than its factorization.

34575552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The spelling of 34575552000 in words is "thirty-four billion, five hundred seventy-five million, five hundred fifty-two thousand".