34386048 has 96 divisors (see below), whose sum is σ = 104223600. Its totient is φ = 10851840.

The previous prime is 34386047. The next prime is 34386049. The reversal of 34386048 is 84068343.

34386048 is a `hidden beast` number, since 3 + 43 + 8 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34386047) and next prime (34386049).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (34386047) 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 11 ways as a sum of consecutive naturals, for example, 21103 + ... + 22673.

Almost surely, 2^34386048 is an apocalyptic number.

34386048 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 34386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52111800).

34386048 is an abundant number, since it is smaller than the sum of its proper divisors (69837552).

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

34386048 is a wasteful number, since it uses less digits than its factorization.

34386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34386048 is about 5863.9618006941. The cubic root of 34386048 is about 325.1826917618.

The spelling of 34386048 in words is "thirty-four million, three hundred eighty-six thousand, forty-eight".