34003625832 has 96 divisors (see below), whose sum is σ = 100625952960. Its totient is φ = 10287648000.

The previous prime is 34003625827. The next prime is 34003625849. The reversal of 34003625832 is 23852630043.

It is a happy number.

34003625832 is a `hidden beast` number, since 3 + 40 + 0 + 36 + 2 + 583 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 465732 + ... + 533772.

It is an arithmetic number, because the mean of its divisors is an integer number (1048187010).

Almost surely, 2^34003625832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34003625832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50312976480).

34003625832 is an abundant number, since it is smaller than the sum of its proper divisors (66622327128).

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

34003625832 is a wasteful number, since it uses less digits than its factorization.

34003625832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68695 (or 68688 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34003625832 in words is "thirty-four billion, three million, six hundred twenty-five thousand, eight hundred thirty-two".