34207281120 has 48 divisors (see below), whose sum is σ = 107752937040. Its totient is φ = 9121941504.

The previous prime is 34207281113. The next prime is 34207281131. The reversal of 34207281120 is 2118270243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35632105 + ... + 35633064.

It is an arithmetic number, because the mean of its divisors is an integer number (2244852855).

Almost surely, 2^34207281120 is an apocalyptic number.

34207281120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34207281120 is an abundant number, since it is smaller than the sum of its proper divisors (73545655920).

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

34207281120 is a wasteful number, since it uses less digits than its factorization.

34207281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71265187 (or 71265179 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 34207281120 in words is "thirty-four billion, two hundred seven million, two hundred eighty-one thousand, one hundred twenty".