34672641120 has 144 divisors (see below), whose sum is σ = 127422024912. Its totient is φ = 8534799360.

The previous prime is 34672641109. The next prime is 34672641121. The reversal of 34672641120 is 2114627643.

34672641120 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 2 + 641 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×34672641120³ (a number of 33 digits) contains 333 as substring.

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 (34672641121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907366 + ... + 944805.

It is an arithmetic number, because the mean of its divisors is an integer number (884875173).

Almost surely, 2^34672641120 is an apocalyptic number.

34672641120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34672641120 is an abundant number, since it is smaller than the sum of its proper divisors (92749383792).

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

34672641120 is a wasteful number, since it uses less digits than its factorization.

34672641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852205 (or 1852194 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34672641120 in words is "thirty-four billion, six hundred seventy-two million, six hundred forty-one thousand, one hundred twenty".