34768116 has 30 divisors (see below), whose sum is σ = 90891570. Its totient is φ = 11589264.

The previous prime is 34768099. The next prime is 34768127. The reversal of 34768116 is 61186743.

It can be written as a sum of positive squares in only one way, i.e., 24502500 + 10265616 = 4950^2 + 3204^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53331 + ... + 53978.

It is an arithmetic number, because the mean of its divisors is an integer number (3029719).

Almost surely, 2^34768116 is an apocalyptic number.

34768116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34768116 is an abundant number, since it is smaller than the sum of its proper divisors (56123454).

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

34768116 is a wasteful number, since it uses less digits than its factorization.

34768116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107325 (or 107314 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34768116 is about 5896.4494401292. The cubic root of 34768116 is about 326.3826412697.

The spelling of 34768116 in words is "thirty-four million, seven hundred sixty-eight thousand, one hundred sixteen".