34905900 has 72 divisors (see below), whose sum is σ = 101590720. Its totient is φ = 9253440.

The previous prime is 34905887. The next prime is 34905901. The reversal of 34905900 is 950943.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34905901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91911 + ... + 92289.

Almost surely, 2^34905900 is an apocalyptic number.

34905900 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 34905900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50795360).

34905900 is an abundant number, since it is smaller than the sum of its proper divisors (66684820).

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

34905900 is a wasteful number, since it uses less digits than its factorization.

34905900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 34905900 is about 5908.1215288787. The cubic root of 34905900 is about 326.8132180602.

The spelling of 34905900 in words is "thirty-four million, nine hundred five thousand, nine hundred".