34738056 has 96 divisors (see below), whose sum is σ = 98841600. Its totient is φ = 11007360.

The previous prime is 34738049. The next prime is 34738087. The reversal of 34738056 is 65083743.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34738056.

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, 265111 + ... + 265241.

It is an arithmetic number, because the mean of its divisors is an integer number (1029600).

Almost surely, 2^34738056 is an apocalyptic number.

34738056 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 34738056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49420800).

34738056 is an abundant number, since it is smaller than the sum of its proper divisors (64103544).

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

34738056 is a wasteful number, since it uses less digits than its factorization.

34738056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34738056 is about 5893.8998973515. The cubic root of 34738056 is about 326.2885522769.

The spelling of 34738056 in words is "thirty-four million, seven hundred thirty-eight thousand, fifty-six".