34838779223976 has 256 divisors, whose sum is σ = 109822825244160. Its totient is φ = 8963163095040.

The previous prime is 34838779223923. The next prime is 34838779223999. The reversal of 34838779223976 is 67932297783843.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1183488330 + ... + 1183517766.

It is an arithmetic number, because the mean of its divisors is an integer number (428995411110).

Almost surely, 2^{34838779223976} 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 34838779223976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54911412622080).

34838779223976 is an abundant number, since it is smaller than the sum of its proper divisors (74984046020184).

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

34838779223976 is a wasteful number, since it uses less digits than its factorization.

34838779223976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42724 (or 42720 counting only the distinct ones).

The product of its digits is 4608866304, while the sum is 78.

The spelling of 34838779223976 in words is "thirty-four trillion, eight hundred thirty-eight billion, seven hundred seventy-nine million, two hundred twenty-three thousand, nine hundred seventy-six".