34978080 has 48 divisors (see below), whose sum is σ = 110182464. Its totient is φ = 9327360.

The previous prime is 34978067. The next prime is 34978121. The reversal of 34978080 is 8087943.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35956 + ... + 36915.

It is an arithmetic number, because the mean of its divisors is an integer number (2295468).

Almost surely, 2^34978080 is an apocalyptic number.

34978080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34978080 is an abundant number, since it is smaller than the sum of its proper divisors (75204384).

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

34978080 is a wasteful number, since it uses less digits than its factorization.

34978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72889 (or 72881 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 34978080 is about 5914.2269148216. The cubic root of 34978080 is about 327.0383293547.

The spelling of 34978080 in words is "thirty-four million, nine hundred seventy-eight thousand, eighty".