34734720 has 128 divisors (see below), whose sum is σ = 112608000. Its totient is φ = 9105408.

The previous prime is 34734719. The next prime is 34734727. The reversal of 34734720 is 2743743.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34734727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151566 + ... + 151794.

It is an arithmetic number, because the mean of its divisors is an integer number (879750).

Almost surely, 2^34734720 is an apocalyptic number.

34734720 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 34734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56304000).

34734720 is an abundant number, since it is smaller than the sum of its proper divisors (77873280).

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

34734720 is a wasteful number, since it uses less digits than its factorization.

34734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 34734720 is about 5893.6168860896. The cubic root of 34734720 is about 326.2781071188.

The spelling of 34734720 in words is "thirty-four million, seven hundred thirty-four thousand, seven hundred twenty".