34978120 has 32 divisors (see below), whose sum is σ = 78926400. Its totient is φ = 13951168.

The previous prime is 34978067. The next prime is 34978121. The reversal of 34978120 is 2187943.

It is not an unprimeable number, because it can be changed into a prime (34978121) 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 7 ways as a sum of consecutive naturals, for example, 15717 + ... + 17803.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450).

Almost surely, 2^34978120 is an apocalyptic number.

It is an amenable number.

34978120 is an abundant number, since it is smaller than the sum of its proper divisors (43948280).

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

34978120 is a wasteful number, since it uses less digits than its factorization.

34978120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 34978120 is about 5914.2302964967. The cubic root of 34978120 is about 327.0384540188.

The spelling of 34978120 in words is "thirty-four million, nine hundred seventy-eight thousand, one hundred twenty".