34878880 has 48 divisors (see below), whose sum is σ = 85254120. Its totient is φ = 13468672.

The previous prime is 34878869. The next prime is 34878887. The reversal of 34878880 is 8887843.

It can be written as a sum of positive squares in 4 ways, for example, as 33686416 + 1192464 = 5804^2 + 1092^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34878880.

It is not an unprimeable number, because it can be changed into a prime (34878887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882 + ... + 8398.

Almost surely, 2^34878880 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 34878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42627060).

34878880 is an abundant number, since it is smaller than the sum of its proper divisors (50375240).

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

34878880 is a wasteful number, since it uses less digits than its factorization.

34878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 34878880 is about 5905.8344033676. The cubic root of 34878880 is about 326.7288696393.

The spelling of 34878880 in words is "thirty-four million, eight hundred seventy-eight thousand, eight hundred eighty".