34500900 has 108 divisors (see below), whose sum is σ = 116169648. Its totient is φ = 7882560.

The previous prime is 34500889. The next prime is 34500901. The reversal of 34500900 is 900543.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34500901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13527 + ... + 15873.

Almost surely, 2^34500900 is an apocalyptic number.

34500900 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 34500900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58084824).

34500900 is an abundant number, since it is smaller than the sum of its proper divisors (81668748).

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

34500900 is a wasteful number, since it uses less digits than its factorization.

34500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 34500900 is about 5873.7466748235. The cubic root of 34500900 is about 325.5443343474.

The spelling of 34500900 in words is "thirty-four million, five hundred thousand, nine hundred".