34631688 has 128 divisors (see below), whose sum is σ = 108299520. Its totient is φ = 8985600.

The previous prime is 34631671. The next prime is 34631689. The reversal of 34631688 is 88613643.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 (34631689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220506 + ... + 220662.

It is an arithmetic number, because the mean of its divisors is an integer number (846090).

Almost surely, 2^34631688 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 34631688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54149760).

34631688 is an abundant number, since it is smaller than the sum of its proper divisors (73667832).

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

34631688 is a wasteful number, since it uses less digits than its factorization.

34631688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 34631688 is about 5884.8694123149. The cubic root of 34631688 is about 325.9551797064.

It can be divided in two parts, 3463 and 1688, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 34631688 in words is "thirty-four million, six hundred thirty-one thousand, six hundred eighty-eight".