34442506404 has 36 divisors (see below), whose sum is σ = 88289248320. Its totient is φ = 11319132720.

The previous prime is 34442506369. The next prime is 34442506421. The reversal of 34442506404 is 40460524443.

34442506404 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 2 + 5 + 0 + 640 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34442506404² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6735024 + ... + 6740135.

It is an arithmetic number, because the mean of its divisors is an integer number (2452479120).

Almost surely, 2^34442506404 is an apocalyptic number.

It is an amenable number.

34442506404 is an abundant number, since it is smaller than the sum of its proper divisors (53846741916).

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

34442506404 is a wasteful number, since it uses less digits than its factorization.

34442506404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13475240 (or 13475235 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 34442506404 in words is "thirty-four billion, four hundred forty-two million, five hundred six thousand, four hundred four".