34950240 has 144 divisors (see below), whose sum is σ = 128510928. Its totient is φ = 8598528.

The previous prime is 34950239. The next prime is 34950257. The reversal of 34950240 is 4205943.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17787 + ... + 19653.

It is an arithmetic number, because the mean of its divisors is an integer number (892437).

Almost surely, 2^34950240 is an apocalyptic number.

34950240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64255464).

34950240 is an abundant number, since it is smaller than the sum of its proper divisors (93560688).

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

34950240 is a wasteful number, since it uses less digits than its factorization.

34950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34950240 is about 5911.8727997141. The cubic root of 34950240 is about 326.9515401072.

The spelling of 34950240 in words is "thirty-four million, nine hundred fifty thousand, two hundred forty".