34166461632 has 56 divisors (see below), whose sum is σ = 90549984000. Its totient is φ = 11369769216.

The previous prime is 34166461631. The next prime is 34166461673. The reversal of 34166461632 is 23616466143.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34166461631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33532 + ... + 263547.

It is an arithmetic number, because the mean of its divisors is an integer number (1616964000).

Almost surely, 2^34166461632 is an apocalyptic number.

34166461632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34166461632 is an abundant number, since it is smaller than the sum of its proper divisors (56383522368).

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

34166461632 is a wasteful number, since it uses less digits than its factorization.

34166461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297693 (or 297683 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The spelling of 34166461632 in words is "thirty-four billion, one hundred sixty-six million, four hundred sixty-one thousand, six hundred thirty-two".