34003625712 has 160 divisors (see below), whose sum is σ = 103800213504. Its totient is φ = 9386496000.

The previous prime is 34003625657. The next prime is 34003625717. The reversal of 34003625712 is 21752630043.

It is a super-4 number, since 4×34003625712⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003625717) 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 31 ways as a sum of consecutive naturals, for example, 7299288 + ... + 7303944.

Almost surely, 2^34003625712 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 34003625712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51900106752).

34003625712 is an abundant number, since it is smaller than the sum of its proper divisors (69796587792).

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

34003625712 is a wasteful number, since it uses less digits than its factorization.

34003625712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 34003625712 in words is "thirty-four billion, three million, six hundred twenty-five thousand, seven hundred twelve".