34980309 has 64 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 17620416.

The previous prime is 34980299. The next prime is 34980329. The reversal of 34980309 is 90308943.

34980309 is a `hidden beast` number, since 349 + 8 + 0 + 309 = 666.

It is not a de Polignac number, because 34980309 - 2⁵ = 34980277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34980329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56202 + ... + 56820.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^34980309 is an apocalyptic number.

34980309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34980309 is a deficient number, since it is larger than the sum of its proper divisors (31682091).

34980309 is a wasteful number, since it uses less digits than its factorization.

34980309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34980309 is about 5914.4153557220. The cubic root of 34980309 is about 327.0452761145.

The spelling of 34980309 in words is "thirty-four million, nine hundred eighty thousand, three hundred nine".