33846379968 has 112 divisors (see below), whose sum is σ = 92958050304. Its totient is φ = 10860887040.

The previous prime is 33846379943. The next prime is 33846380023. The reversal of 33846379968 is 86997364833.

It is a super-2 number, since 2×33846379968² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33846379899 and 33846379908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519721 + ... + 581207.

It is an arithmetic number, because the mean of its divisors is an integer number (829982592).

Almost surely, 2^33846379968 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 33846379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46479025152).

33846379968 is an abundant number, since it is smaller than the sum of its proper divisors (59111670336).

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

33846379968 is a wasteful number, since it uses less digits than its factorization.

33846379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61610 (or 61600 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 66.

The spelling of 33846379968 in words is "thirty-three billion, eight hundred forty-six million, three hundred seventy-nine thousand, nine hundred sixty-eight".