34839477120 has 256 divisors, whose sum is σ = 131293094400. Its totient is φ = 7688626176.

The previous prime is 34839477107. The next prime is 34839477121. The reversal of 34839477120 is 2177493843.

It is a super-3 number, since 3×34839477120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34839477120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34839477121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 345067 + ... + 434453.

It is an arithmetic number, because the mean of its divisors is an integer number (512863650).

Almost surely, 2^34839477120 is an apocalyptic number.

34839477120 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 34839477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65646547200).

34839477120 is an abundant number, since it is smaller than the sum of its proper divisors (96453617280).

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

34839477120 is a wasteful number, since it uses less digits than its factorization.

34839477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89445 (or 89433 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 34839477120 in words is "thirty-four billion, eight hundred thirty-nine million, four hundred seventy-seven thousand, one hundred twenty".