34879376 has 60 divisors (see below), whose sum is σ = 83268108. Its totient is φ = 14063616.

The previous prime is 34879337. The next prime is 34879379. The reversal of 34879376 is 67397843.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31360000 + 3519376 = 5600^2 + 1876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34879376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34879379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12020 + ... + 14636.

Almost surely, 2^34879376 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 34879376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41634054).

34879376 is an abundant number, since it is smaller than the sum of its proper divisors (48388732).

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

34879376 is a wasteful number, since it uses less digits than its factorization.

34879376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2643 counting only the distinct ones).

The product of its digits is 762048, while the sum is 47.

The square root of 34879376 is about 5905.8763955911. The cubic root of 34879376 is about 326.7304183965.

The spelling of 34879376 in words is "thirty-four million, eight hundred seventy-nine thousand, three hundred seventy-six".