34688151 has 12 divisors (see below), whose sum is σ = 50162112. Its totient is φ = 23099136.

The previous prime is 34688149. The next prime is 34688153. The reversal of 34688151 is 15188643.

It is an interprime number because it is at equal distance from previous prime (34688149) and next prime (34688153).

It is not a de Polignac number, because 34688151 - 2¹ = 34688149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34688153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9370 + ... + 12536.

It is an arithmetic number, because the mean of its divisors is an integer number (4180176).

Almost surely, 2^34688151 is an apocalyptic number.

34688151 is a deficient number, since it is larger than the sum of its proper divisors (15473961).

34688151 is a wasteful number, since it uses less digits than its factorization.

34688151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4387 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 34688151 is about 5889.6647612576. The cubic root of 34688151 is about 326.1322277158.

The spelling of 34688151 in words is "thirty-four million, six hundred eighty-eight thousand, one hundred fifty-one".