34389360 has 240 divisors, whose sum is σ = 125929440. Its totient is φ = 8709120.

The previous prime is 34389353. The next prime is 34389361. The reversal of 34389360 is 6398343.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34389361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563730 + ... + 563790.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 2^34389360 is an apocalyptic number.

34389360 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 34389360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

34389360 is an abundant number, since it is smaller than the sum of its proper divisors (91540080).

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

34389360 is a wasteful number, since it uses less digits than its factorization.

34389360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34389360 is about 5864.2441968254. The cubic root of 34389360 is about 325.1931317567.

The spelling of 34389360 in words is "thirty-four million, three hundred eighty-nine thousand, three hundred sixty".