34130661090 has 32 divisors (see below), whose sum is σ = 81977524416. Its totient is φ = 9094405440.

The previous prime is 34130661073. The next prime is 34130661143. The reversal of 34130661090 is 9016603143.

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 15 ways as a sum of consecutive naturals, for example, 404881 + ... + 481860.

It is an arithmetic number, because the mean of its divisors is an integer number (2561797638).

Almost surely, 2^34130661090 is an apocalyptic number.

34130661090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34130661090 is an abundant number, since it is smaller than the sum of its proper divisors (47846863326).

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

34130661090 is a wasteful number, since it uses less digits than its factorization.

34130661090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888034.

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 34130661090 in words is "thirty-four billion, one hundred thirty million, six hundred sixty-one thousand, ninety".