34958920 has 32 divisors (see below), whose sum is σ = 81372600. Its totient is φ = 13500928.

The previous prime is 34958867. The next prime is 34958941. The reversal of 34958920 is 2985943.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20412324 + 14546596 = 4518^2 + 3814^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 13909 + ... + 16228.

Almost surely, 2^34958920 is an apocalyptic number.

It is an amenable number.

34958920 is an abundant number, since it is smaller than the sum of its proper divisors (46413680).

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

34958920 is a wasteful number, since it uses less digits than its factorization.

34958920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30177 (or 30173 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 34958920 is about 5912.6068700701. The cubic root of 34958920 is about 326.9786043416.

The spelling of 34958920 in words is "thirty-four million, nine hundred fifty-eight thousand, nine hundred twenty".