34753040 has 80 divisors (see below), whose sum is σ = 93089280. Its totient is φ = 11819520.

The previous prime is 34753039. The next prime is 34753057. The reversal of 34753040 is 4035743.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128105 + ... + 128375.

It is an arithmetic number, because the mean of its divisors is an integer number (1163616).

Almost surely, 2^34753040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46544640).

34753040 is an abundant number, since it is smaller than the sum of its proper divisors (58336240).

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

34753040 is a wasteful number, since it uses less digits than its factorization.

34753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 34753040 is about 5895.1709050714. The cubic root of 34753040 is about 326.3354595734.

Adding to 34753040 its reverse (4035743), we get a palindrome (38788783).

The spelling of 34753040 in words is "thirty-four million, seven hundred fifty-three thousand, forty".