34478720 has 64 divisors (see below), whose sum is σ = 87301800. Its totient is φ = 12976128.

The previous prime is 34478713. The next prime is 34478729. The reversal of 34478720 is 2787443.

It can be written as a sum of positive squares in 4 ways, for example, as 33825856 + 652864 = 5816^2 + 808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34478729) 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, 9296 + ... + 12464.

Almost surely, 2^34478720 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 34478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43650900).

34478720 is an abundant number, since it is smaller than the sum of its proper divisors (52823080).

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

34478720 is a wasteful number, since it uses less digits than its factorization.

34478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 34478720 is about 5871.8583089172. The cubic root of 34478720 is about 325.4745572187.

It can be divided in two parts, 3447 and 8720, that added together give a cube (12167 = 23³).

The spelling of 34478720 in words is "thirty-four million, four hundred seventy-eight thousand, seven hundred twenty".