34459920 has 240 divisors, whose sum is σ = 133473600. Its totient is φ = 7879680.

The previous prime is 34459903. The next prime is 34459951. The reversal of 34459920 is 2995443.

34459920 is a `hidden beast` number, since 3 + 44 + 599 + 20 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150366 + ... + 150594.

It is an arithmetic number, because the mean of its divisors is an integer number (556140).

Almost surely, 2^34459920 is an apocalyptic number.

34459920 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 34459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66736800).

34459920 is an abundant number, since it is smaller than the sum of its proper divisors (99013680).

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

34459920 is a wasteful number, since it uses less digits than its factorization.

34459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 34459920 is about 5870.2572345682. The cubic root of 34459920 is about 325.4153899589.

It can be divided in two parts, 34 and 459920, that added together give a palindrome (459954).

The spelling of 34459920 in words is "thirty-four million, four hundred fifty-nine thousand, nine hundred twenty".