34687944 has 96 divisors (see below), whose sum is σ = 100035000. Its totient is φ = 10838016.

The previous prime is 34687943. The next prime is 34687951. The reversal of 34687944 is 44978643.

It can be written as a sum of positive squares in 4 ways, for example, as 34363044 + 324900 = 5862^2 + 570^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34687944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34687943) 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, 77032 + ... + 77480.

Almost surely, 2^34687944 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 34687944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50017500).

34687944 is an abundant number, since it is smaller than the sum of its proper divisors (65347056).

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

34687944 is a wasteful number, since it uses less digits than its factorization.

34687944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 34687944 is about 5889.6471880750. The cubic root of 34687944 is about 326.1315789880.

The spelling of 34687944 in words is "thirty-four million, six hundred eighty-seven thousand, nine hundred forty-four".