34880976 has 80 divisors (see below), whose sum is σ = 107840320. Its totient is φ = 10730880.

The previous prime is 34880971. The next prime is 34881001. The reversal of 34880976 is 67908843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34880971) 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 15 ways as a sum of consecutive naturals, for example, 2511 + ... + 8721.

It is an arithmetic number, because the mean of its divisors is an integer number (1348004).

Almost surely, 2^34880976 is an apocalyptic number.

34880976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34880976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53920160).

34880976 is an abundant number, since it is smaller than the sum of its proper divisors (72959344).

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

34880976 is a wasteful number, since it uses less digits than its factorization.

34880976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 34880976 is about 5906.0118523416. The cubic root of 34880976 is about 326.7354142875.

The spelling of 34880976 in words is "thirty-four million, eight hundred eighty thousand, nine hundred seventy-six".