34759968 has 144 divisors (see below), whose sum is σ = 103692960. Its totient is φ = 10156032.

The previous prime is 34759961. The next prime is 34759973. The reversal of 34759968 is 86995743.

It is a super-2 number, since 2×34759968² = 2416510750722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 34759968.

It is not an unprimeable number, because it can be changed into a prime (34759961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589123 + ... + 589181.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 2^34759968 is an apocalyptic number.

34759968 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 34759968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51846480).

34759968 is an abundant number, since it is smaller than the sum of its proper divisors (68932992).

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

34759968 is a wasteful number, since it uses less digits than its factorization.

34759968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 34759968 is about 5895.7584753787. The cubic root of 34759968 is about 326.3571430659.

The spelling of 34759968 in words is "thirty-four million, seven hundred fifty-nine thousand, nine hundred sixty-eight".