34681950 has 72 divisors (see below), whose sum is σ = 95743128. Its totient is φ = 8994240.

The previous prime is 34681943. The next prime is 34681957. The reversal of 34681950 is 5918643.

34681950 is a `hidden beast` number, since 3 + 468 + 195 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34681943) and next prime (34681957).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34681957) 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 35 ways as a sum of consecutive naturals, for example, 15609 + ... + 17691.

Almost surely, 2^34681950 is an apocalyptic number.

34681950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34681950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47871564).

34681950 is an abundant number, since it is smaller than the sum of its proper divisors (61061178).

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

34681950 is a wasteful number, since it uses less digits than its factorization.

34681950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34681950 is about 5889.1383070870. The cubic root of 34681950 is about 326.1127929674.

The spelling of 34681950 in words is "thirty-four million, six hundred eighty-one thousand, nine hundred fifty".