34387968 has 96 divisors (see below), whose sum is σ = 95331600. Its totient is φ = 11010048.

The previous prime is 34387963. The next prime is 34387987. The reversal of 34387968 is 86978343.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34387963) 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 7 ways as a sum of consecutive naturals, for example, 178080 + ... + 178272.

Almost surely, 2^34387968 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 34387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47665800).

34387968 is an abundant number, since it is smaller than the sum of its proper divisors (60943632).

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

34387968 is a wasteful number, since it uses less digits than its factorization.

34387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 34387968 is about 5864.1255102530. The cubic root of 34387968 is about 325.1887440145.

The spelling of 34387968 in words is "thirty-four million, three hundred eighty-seven thousand, nine hundred sixty-eight".