34311634020 has 144 divisors (see below), whose sum is σ = 110851086528. Its totient is φ = 8902431360.

The previous prime is 34311633973. The next prime is 34311634031. The reversal of 34311634020 is 2043611343.

34311634020 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 1 + 634 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84415 + ... + 275225.

It is an arithmetic number, because the mean of its divisors is an integer number (769799212).

Almost surely, 2^34311634020 is an apocalyptic number.

34311634020 is a gapful number since it is divisible by the number (30) 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 34311634020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55425543264).

34311634020 is an abundant number, since it is smaller than the sum of its proper divisors (76539452508).

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

34311634020 is a wasteful number, since it uses less digits than its factorization.

34311634020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190872 (or 190858 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34311634020 in words is "thirty-four billion, three hundred eleven million, six hundred thirty-four thousand, twenty".