34224945120 has 96 divisors (see below), whose sum is σ = 119787323040. Its totient is φ = 9126650880.

The previous prime is 34224945077. The next prime is 34224945121. The reversal of 34224945120 is 2154942243.

It is a happy number.

34224945120 is a `hidden beast` number, since 3 + 42 + 2 + 494 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (34224945121) 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, 3956901 + ... + 3965540.

It is an arithmetic number, because the mean of its divisors is an integer number (1247784615).

Almost surely, 2^34224945120 is an apocalyptic number.

34224945120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34224945120 is an abundant number, since it is smaller than the sum of its proper divisors (85562377920).

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

34224945120 is a wasteful number, since it uses less digits than its factorization.

34224945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922465 (or 7922451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34224945120 in words is "thirty-four billion, two hundred twenty-four million, nine hundred forty-five thousand, one hundred twenty".