34975979520 has 192 divisors, whose sum is σ = 118479684960. Its totient is φ = 8778153984.

The previous prime is 34975979483. The next prime is 34975979531. The reversal of 34975979520 is 2597957943.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488754 + ... + 555726.

Almost surely, 2^34975979520 is an apocalyptic number.

34975979520 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 34975979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59239842480).

34975979520 is an abundant number, since it is smaller than the sum of its proper divisors (83503705440).

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

34975979520 is a wasteful number, since it uses less digits than its factorization.

34975979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67020 (or 67000 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 60.

The spelling of 34975979520 in words is "thirty-four billion, nine hundred seventy-five million, nine hundred seventy-nine thousand, five hundred twenty".