34387120 has 40 divisors (see below), whose sum is σ = 80976960. Its totient is φ = 13578240.

The previous prime is 34387117. The next prime is 34387121. The reversal of 34387120 is 2178343.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (34387121) 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, 3600 + ... + 9040.

It is an arithmetic number, because the mean of its divisors is an integer number (2024424).

Almost surely, 2^34387120 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 34387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40488480).

34387120 is an abundant number, since it is smaller than the sum of its proper divisors (46589840).

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

34387120 is a wasteful number, since it uses less digits than its factorization.

34387120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 34387120 is about 5864.0532057614. The cubic root of 34387120 is about 325.1860709640.

The spelling of 34387120 in words is "thirty-four million, three hundred eighty-seven thousand, one hundred twenty".