34645968 has 240 divisors, whose sum is σ = 122769920. Its totient is φ = 9237888.

The previous prime is 34645937. The next prime is 34645969. The reversal of 34645968 is 86954643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34645969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517071 + ... + 517137.

Almost surely, 2^34645968 is an apocalyptic number.

34645968 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 34645968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61384960).

34645968 is an abundant number, since it is smaller than the sum of its proper divisors (88123952).

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

34645968 is a wasteful number, since it uses less digits than its factorization.

34645968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 34645968 is about 5886.0825682282. The cubic root of 34645968 is about 325.9999749081. Note that the first 4 decimals are identical.

The spelling of 34645968 in words is "thirty-four million, six hundred forty-five thousand, nine hundred sixty-eight".