34688031 has 48 divisors (see below), whose sum is σ = 56908800. Its totient is φ = 18712512.

The previous prime is 34688029. The next prime is 34688033. The reversal of 34688031 is 13088643.

It is an interprime number because it is at equal distance from previous prime (34688029) and next prime (34688033).

It is not a de Polignac number, because 34688031 - 2¹ = 34688029 is a prime.

It is a super-2 number, since 2×34688031² = 2406518989313922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34687983 and 34688001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34688033) 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 47 ways as a sum of consecutive naturals, for example, 336726 + ... + 336828.

It is an arithmetic number, because the mean of its divisors is an integer number (1185600).

Almost surely, 2^34688031 is an apocalyptic number.

34688031 is a deficient number, since it is larger than the sum of its proper divisors (22220769).

34688031 is a wasteful number, since it uses less digits than its factorization.

34688031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 34688031 is about 5889.6545739118. The cubic root of 34688031 is about 326.1318516420.

The spelling of 34688031 in words is "thirty-four million, six hundred eighty-eight thousand, thirty-one".