34782048 has 192 divisors, whose sum is σ = 119024640. Its totient is φ = 9797760.

The previous prime is 34782047. The next prime is 34782061. The reversal of 34782048 is 84028743.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34782043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489853 + ... + 489923.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^34782048 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 34782048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512320).

34782048 is an abundant number, since it is smaller than the sum of its proper divisors (84242592).

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

34782048 is an frugal number, since it uses more digits than its factorization.

34782048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34782048 is about 5897.6307107177. The cubic root of 34782048 is about 326.4262305909.

The spelling of 34782048 in words is "thirty-four million, seven hundred eighty-two thousand, forty-eight".