34929036984 has 64 divisors (see below), whose sum is σ = 88850390400. Its totient is φ = 11439519104.

The previous prime is 34929036913. The next prime is 34929036991. The reversal of 34929036984 is 48963092943.

It is a happy number.

34929036984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34929036984³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3162079 + ... + 3173105.

It is an arithmetic number, because the mean of its divisors is an integer number (1388287350).

Almost surely, 2^34929036984 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 34929036984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44425195200).

34929036984 is an abundant number, since it is smaller than the sum of its proper divisors (53921353416).

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

34929036984 is a wasteful number, since it uses less digits than its factorization.

34929036984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13332 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 34929036984 in words is "thirty-four billion, nine hundred twenty-nine million, thirty-six thousand, nine hundred eighty-four".