34314705020 has 96 divisors (see below), whose sum is σ = 78464671488. Its totient is φ = 12552855552.

The previous prime is 34314704953. The next prime is 34314705067. The reversal of 34314705020 is 2050741343.

It is a happy number.

It is a super-2 number, since 2×34314705020² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 13874504 + ... + 13876976.

It is an arithmetic number, because the mean of its divisors is an integer number (817340328).

Almost surely, 2^34314705020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314705020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39232335744).

34314705020 is an abundant number, since it is smaller than the sum of its proper divisors (44149966468).

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

34314705020 is a wasteful number, since it uses less digits than its factorization.

34314705020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The spelling of 34314705020 in words is "thirty-four billion, three hundred fourteen million, seven hundred five thousand, twenty".