34006125738 has 64 divisors (see below), whose sum is σ = 78894047232. Its totient is φ = 9685621440.

The previous prime is 34006125709. The next prime is 34006125749. The reversal of 34006125738 is 83752160043.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 34006125696 and 34006125705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250120 + ... + 361347.

It is an arithmetic number, because the mean of its divisors is an integer number (1232719488).

Almost surely, 2^34006125738 is an apocalyptic number.

34006125738 is an abundant number, since it is smaller than the sum of its proper divisors (44887921494).

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

34006125738 is a wasteful number, since it uses less digits than its factorization.

34006125738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611539.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 34006125738 in words is "thirty-four billion, six million, one hundred twenty-five thousand, seven hundred thirty-eight".