34878720 has 144 divisors (see below), whose sum is σ = 115379712. Its totient is φ = 8970240.

The previous prime is 34878707. The next prime is 34878721. The reversal of 34878720 is 2787843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34878721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118894 + ... + 119186.

It is an arithmetic number, because the mean of its divisors is an integer number (801248).

Almost surely, 2^34878720 is an apocalyptic number.

34878720 is a gapful number since it is divisible by the number (30) 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 34878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57689856).

34878720 is an abundant number, since it is smaller than the sum of its proper divisors (80500992).

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

34878720 is a wasteful number, since it uses less digits than its factorization.

34878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 34878720 is about 5905.8208574253. The cubic root of 34878720 is about 326.7283700371.

The spelling of 34878720 in words is "thirty-four million, eight hundred seventy-eight thousand, seven hundred twenty".