34310720 has 56 divisors (see below), whose sum is σ = 82296000. Its totient is φ = 13624832.

The previous prime is 34310719. The next prime is 34310723. The reversal of 34310720 is 2701343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34310692 and 34310701.

It is not an unprimeable number, because it can be changed into a prime (34310723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56981 + ... + 57579.

Almost surely, 2^34310720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41148000).

34310720 is an abundant number, since it is smaller than the sum of its proper divisors (47985280).

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

34310720 is a wasteful number, since it uses less digits than its factorization.

34310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 34310720 is about 5857.5353178619. The cubic root of 34310720 is about 324.9450636927.

The spelling of 34310720 in words is "thirty-four million, three hundred ten thousand, seven hundred twenty".