34687968 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 9661440.

The previous prime is 34687967. The next prime is 34687993. The reversal of 34687968 is 86978643.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34687968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34687967) 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, 26923 + ... + 28181.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^34687968 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 34687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

34687968 is an abundant number, since it is smaller than the sum of its proper divisors (71998752).

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

34687968 is a wasteful number, since it uses less digits than its factorization.

34687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1312 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 34687968 is about 5889.6492255482. The cubic root of 34687968 is about 326.1316542029.

The spelling of 34687968 in words is "thirty-four million, six hundred eighty-seven thousand, nine hundred sixty-eight".