34829920944 has 240 divisors, whose sum is σ = 124414314752. Its totient is φ = 9185819904.

The previous prime is 34829920921. The next prime is 34829920973. The reversal of 34829920944 is 44902992843.

34829920944 is a `hidden beast` number, since 348 + 2 + 99 + 209 + 4 + 4 = 666.

It is a super-3 number, since 3×34829920944³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304587 + ... + 403029.

Almost surely, 2^34829920944 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 34829920944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62207157376).

34829920944 is an abundant number, since it is smaller than the sum of its proper divisors (89584393808).

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

34829920944 is a wasteful number, since it uses less digits than its factorization.

34829920944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98486 (or 98468 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34829920944 in words is "thirty-four billion, eight hundred twenty-nine million, nine hundred twenty thousand, nine hundred forty-four".