34001688 has 96 divisors (see below), whose sum is σ = 102394800. Its totient is φ = 9370368.

The previous prime is 34001677. The next prime is 34001689. The reversal of 34001688 is 88610043.

It is a happy number.

It is a super-2 number, since 2×34001688² = 2312229573698688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001689) 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, 33606 + ... + 34602.

Almost surely, 2^34001688 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 34001688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51197400).

34001688 is an abundant number, since it is smaller than the sum of its proper divisors (68393112).

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

34001688 is a wasteful number, since it uses less digits than its factorization.

34001688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 34001688 is about 5831.0966378547. The cubic root of 34001688 is about 323.9665412789.

The spelling of 34001688 in words is "thirty-four million, one thousand, six hundred eighty-eight".