34164134160 has 120 divisors (see below), whose sum is σ = 114682463424. Its totient is φ = 8409623040.

The previous prime is 34164134143. The next prime is 34164134171. The reversal of 34164134160 is 6143146143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380596 + ... + 461715.

Almost surely, 2^34164134160 is an apocalyptic number.

34164134160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34164134160 is an abundant number, since it is smaller than the sum of its proper divisors (80518329264).

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

34164134160 is a wasteful number, since it uses less digits than its factorization.

34164134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842353 (or 842334 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 34164134160 in words is "thirty-four billion, one hundred sixty-four million, one hundred thirty-four thousand, one hundred sixty".