34179983964 has 384 divisors, whose sum is σ = 110816133120. Its totient is φ = 8888527872.

The previous prime is 34179983963. The next prime is 34179983977. The reversal of 34179983964 is 46938997143.

It is a super-3 number, since 3×34179983964³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34179983963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70184529 + ... + 70185015.

It is an arithmetic number, because the mean of its divisors is an integer number (288583680).

Almost surely, 2^34179983964 is an apocalyptic number.

34179983964 is a gapful number since it is divisible by the number (34) 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 34179983964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55408066560).

34179983964 is an abundant number, since it is smaller than the sum of its proper divisors (76636149156).

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

34179983964 is a wasteful number, since it uses less digits than its factorization.

34179983964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 34179983964 in words is "thirty-four billion, one hundred seventy-nine million, nine hundred eighty-three thousand, nine hundred sixty-four".