34771968 has 264 divisors, whose sum is σ = 127732800. Its totient is φ = 9031680.

The previous prime is 34771967. The next prime is 34771969. The reversal of 34771968 is 86917743.

It is an interprime number because it is at equal distance from previous prime (34771967) and next prime (34771969).

It is a tau number, because it is divible by the number of its divisors (264).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34771967) 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, 3161083 + ... + 3161093.

Almost surely, 2^34771968 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 34771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866400).

34771968 is an abundant number, since it is smaller than the sum of its proper divisors (92960832).

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

34771968 is a wasteful number, since it uses less digits than its factorization.

34771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 34771968 is about 5896.7760683275. The cubic root of 34771968 is about 326.3946942621.

It can be divided in two parts, 3477 and 1968, that added together give a palindrome (5445).

The spelling of 34771968 in words is "thirty-four million, seven hundred seventy-one thousand, nine hundred sixty-eight".