34478080 has 192 divisors, whose sum is σ = 104569920. Its totient is φ = 10616832.

The previous prime is 34478077. The next prime is 34478083. The reversal of 34478080 is 8087443.

It is an interprime number because it is at equal distance from previous prime (34478077) and next prime (34478083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34478083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931822 + ... + 931858.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^34478080 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 34478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

34478080 is an abundant number, since it is smaller than the sum of its proper divisors (70091840).

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

34478080 is a wasteful number, since it uses less digits than its factorization.

34478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 34478080 is about 5871.8038114365. The cubic root of 34478080 is about 325.4725433678.

The spelling of 34478080 in words is "thirty-four million, four hundred seventy-eight thousand, eighty".