34534500 has 384 divisors, whose sum is σ = 140894208. Its totient is φ = 6336000.

The previous prime is 34534483. The next prime is 34534501. The reversal of 34534500 is 543543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34534501) 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, 1501489 + ... + 1501511.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^34534500 is an apocalyptic number.

34534500 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 34534500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

34534500 is an abundant number, since it is smaller than the sum of its proper divisors (106359708).

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

34534500 is a wasteful number, since it uses less digits than its factorization.

34534500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 34534500 is about 5876.6061634246. The cubic root of 34534500 is about 325.6499812597.

It can be divided in two parts, 345 and 34500, that multiplied together give a square (11902500 = 3450²).

The spelling of 34534500 in words is "thirty-four million, five hundred thirty-four thousand, five hundred".