34034010807120 has 80 divisors (see below), whose sum is σ = 105506016022080. Its totient is φ = 9075686106112.

The previous prime is 34034010807101. The next prime is 34034010807163. The reversal of 34034010807120 is 2170801043043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68028127 + ... + 68526593.

It is an arithmetic number, because the mean of its divisors is an integer number (1318825200276).

Almost surely, 2^{34034010807120} is an apocalyptic number.

34034010807120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34034010807120 is an abundant number, since it is smaller than the sum of its proper divisors (71472005214960).

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

34034010807120 is a wasteful number, since it uses less digits than its factorization.

34034010807120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782972 (or 782966 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 34034010807120 in words is "thirty-four trillion, thirty-four billion, ten million, eight hundred seven thousand, one hundred twenty".