34028516779590 has 16 divisors (see below), whose sum is σ = 81668440271088. Its totient is φ = 9074271141216.

The previous prime is 34028516779583. The next prime is 34028516779597. The reversal of 34028516779590 is 9597761582043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34028516779583) and next prime (34028516779597).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34028516779597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567141946297 + ... + 567141946356.

It is an arithmetic number, because the mean of its divisors is an integer number (5104277516943).

It is a 1-persistent number, because it is pandigital, but 2⋅34028516779590 = 68057033559180 is not.

Almost surely, 2^{34028516779590} is an apocalyptic number.

34028516779590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34028516779590 is an abundant number, since it is smaller than the sum of its proper divisors (47639923491498).

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

34028516779590 is a wasteful number, since it uses less digits than its factorization.

34028516779590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134283892663.

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 34028516779590 in words is "thirty-four trillion, twenty-eight billion, five hundred sixteen million, seven hundred seventy-nine thousand, five hundred ninety".