34375968 has 96 divisors (see below), whose sum is σ = 109408320. Its totient is φ = 10414080.

The previous prime is 34375967. The next prime is 34375969. The reversal of 34375968 is 86957343.

It is an interprime number because it is at equal distance from previous prime (34375967) and next prime (34375969).

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

It is not an unprimeable number, because it can be changed into a prime (34375967) 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 15 ways as a sum of consecutive naturals, for example, 7696 + ... + 11312.

It is an arithmetic number, because the mean of its divisors is an integer number (1139670).

Almost surely, 2^34375968 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 34375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54704160).

34375968 is an abundant number, since it is smaller than the sum of its proper divisors (75032352).

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

34375968 is a wasteful number, since it uses less digits than its factorization.

34375968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3633 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 34375968 is about 5863.1022505155. The cubic root of 34375968 is about 325.1509137388.

The spelling of 34375968 in words is "thirty-four million, three hundred seventy-five thousand, nine hundred sixty-eight".