34228379376 has 120 divisors (see below), whose sum is σ = 99172238880. Its totient is φ = 11007456768.

The previous prime is 34228379363. The next prime is 34228379447. The reversal of 34228379376 is 67397382243.

34228379376 is a `hidden beast` number, since 3 + 422 + 83 + 79 + 3 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7443510 + ... + 7448106.

It is an arithmetic number, because the mean of its divisors is an integer number (826435324).

Almost surely, 2^34228379376 is an apocalyptic number.

34228379376 is a gapful number since it is divisible by the number (36) 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 34228379376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49586119440).

34228379376 is an abundant number, since it is smaller than the sum of its proper divisors (64943859504).

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

34228379376 is a wasteful number, since it uses less digits than its factorization.

34228379376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6414 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 34228379376 in words is "thirty-four billion, two hundred twenty-eight million, three hundred seventy-nine thousand, three hundred seventy-six".