34390720 has 112 divisors (see below), whose sum is σ = 100876608. Its totient is φ = 10874880.

The previous prime is 34390717. The next prime is 34390721. The reversal of 34390720 is 2709343.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34390721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28530 + ... + 29710.

It is an arithmetic number, because the mean of its divisors is an integer number (900684).

Almost surely, 2^34390720 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 34390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50438304).

34390720 is an abundant number, since it is smaller than the sum of its proper divisors (66485888).

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

34390720 is a wasteful number, since it uses less digits than its factorization.

34390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 34390720 is about 5864.3601526509. The cubic root of 34390720 is about 325.1974185170.

The spelling of 34390720 in words is "thirty-four million, three hundred ninety thousand, seven hundred twenty".