34905472 has 64 divisors (see below), whose sum is σ = 80294400. Its totient is φ = 14805504.

The previous prime is 34905469. The next prime is 34905491. The reversal of 34905472 is 27450943.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145929 + ... + 146167.

It is an arithmetic number, because the mean of its divisors is an integer number (1254600).

Almost surely, 2^34905472 is an apocalyptic number.

34905472 is a gapful number since it is divisible by the number (32) 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 34905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147200).

34905472 is an abundant number, since it is smaller than the sum of its proper divisors (45388928).

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

34905472 is a wasteful number, since it uses less digits than its factorization.

34905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 34905472 is about 5908.0853074410. The cubic root of 34905472 is about 326.8118823106.

The spelling of 34905472 in words is "thirty-four million, nine hundred five thousand, four hundred seventy-two".