34401166000 has 80 divisors (see below), whose sum is σ = 88075166400. Its totient is φ = 12951014400.

The previous prime is 34401165973. The next prime is 34401166003. The reversal of 34401166000 is 66110443.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34401166003) 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 15 ways as a sum of consecutive naturals, for example, 471900 + ... + 539899.

It is an arithmetic number, because the mean of its divisors is an integer number (1100939580).

Almost surely, 2^34401166000 is an apocalyptic number.

It is an amenable number.

34401166000 is an abundant number, since it is smaller than the sum of its proper divisors (53674000400).

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

34401166000 is a wasteful number, since it uses less digits than its factorization.

34401166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011839 (or 1011823 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 34401166000 its reverse (66110443), we get a palindrome (34467276443).

The spelling of 34401166000 in words is "thirty-four billion, four hundred one million, one hundred sixty-six thousand".