34463968 has 96 divisors (see below), whose sum is σ = 86220288. Its totient is φ = 13171200.

The previous prime is 34463953. The next prime is 34463969. The reversal of 34463968 is 86936443.

Its product of digits (373248) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34463969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174846 + ... + 175042.

It is an arithmetic number, because the mean of its divisors is an integer number (898128).

Almost surely, 2^34463968 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 34463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110144).

34463968 is an abundant number, since it is smaller than the sum of its proper divisors (51756320).

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

34463968 is a wasteful number, since it uses less digits than its factorization.

34463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 34463968 is about 5870.6020134225. The cubic root of 34463968 is about 325.4281316205.

The spelling of 34463968 in words is "thirty-four million, four hundred sixty-three thousand, nine hundred sixty-eight".