34294848 has 224 divisors, whose sum is σ = 117043200. Its totient is φ = 8626176.

The previous prime is 34294847. The next prime is 34294859. The reversal of 34294848 is 84849243.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×34294848² = 2352273198686208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34294847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434073 + ... + 434151.

Almost surely, 2^34294848 is an apocalyptic number.

34294848 is a gapful number since it is divisible by the number (38) 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 34294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58521600).

34294848 is an abundant number, since it is smaller than the sum of its proper divisors (82748352).

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

34294848 is a wasteful number, since it uses less digits than its factorization.

34294848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 34294848 is about 5856.1803250925. The cubic root of 34294848 is about 324.8949498746.

The spelling of 34294848 in words is "thirty-four million, two hundred ninety-four thousand, eight hundred forty-eight".