34723909116 has 240 divisors, whose sum is σ = 103349584800. Its totient is φ = 10078069248.

The previous prime is 34723909109. The next prime is 34723909123. The reversal of 34723909116 is 61190932743.

34723909116 is a `hidden beast` number, since 3 + 472 + 3 + 90 + 91 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (34723909109) and next prime (34723909123).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 21526726 + ... + 21528338.

It is an arithmetic number, because the mean of its divisors is an integer number (430623270).

Almost surely, 2^34723909116 is an apocalyptic number.

34723909116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34723909116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51674792400).

34723909116 is an abundant number, since it is smaller than the sum of its proper divisors (68625675684).

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

34723909116 is a wasteful number, since it uses less digits than its factorization.

34723909116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 34723909116 in words is "thirty-four billion, seven hundred twenty-three million, nine hundred nine thousand, one hundred sixteen".