34126848 has 198 divisors, whose sum is σ = 117727064. Its totient is φ = 9326592.

The previous prime is 34126819. The next prime is 34126849. The reversal of 34126848 is 84862143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34126849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1483765 + ... + 1483787.

Almost surely, 2^34126848 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 34126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58863532).

34126848 is an abundant number, since it is smaller than the sum of its proper divisors (83600216).

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

34126848 is a wasteful number, since it uses less digits than its factorization.

34126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 35 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34126848 is about 5841.8188948306. The cubic root of 34126848 is about 324.3635608026.

The spelling of 34126848 in words is "thirty-four million, one hundred twenty-six thousand, eight hundred forty-eight".