34780920 has 32 divisors (see below), whose sum is σ = 104343120. Its totient is φ = 9274880.

The previous prime is 34780891. The next prime is 34780927. The reversal of 34780920 is 2908743.

34780920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34780927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144801 + ... + 145040.

Almost surely, 2^34780920 is an apocalyptic number.

34780920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34780920 is an abundant number, since it is smaller than the sum of its proper divisors (69562200).

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

34780920 is a wasteful number, since it uses less digits than its factorization.

34780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289855 (or 289851 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 34780920 is about 5897.5350783187. The cubic root of 34780920 is about 326.4227018283.

The spelling of 34780920 in words is "thirty-four million, seven hundred eighty thousand, nine hundred twenty".