34794144 has 192 divisors, whose sum is σ = 126766080. Its totient is φ = 9020160.

The previous prime is 34794139. The next prime is 34794157. The reversal of 34794144 is 44149743.

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 junction number, because it is equal to n+sod(n) for n = 34794099 and 34794108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66267 + ... + 66789.

It is an arithmetic number, because the mean of its divisors is an integer number (660240).

Almost surely, 2^34794144 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 34794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63383040).

34794144 is an abundant number, since it is smaller than the sum of its proper divisors (91971936).

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

34794144 is a wasteful number, since it uses less digits than its factorization.

34794144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34794144 is about 5898.6561181340. The cubic root of 34794144 is about 326.4640661439.

The spelling of 34794144 in words is "thirty-four million, seven hundred ninety-four thousand, one hundred forty-four".