34813840 has 60 divisors (see below), whose sum is σ = 83120796. Its totient is φ = 13560064.

The previous prime is 34813819. The next prime is 34813847. The reversal of 34813840 is 4831843.

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 9048064 = 5076^2 + 3008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34813847) 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 11 ways as a sum of consecutive naturals, for example, 176622 + ... + 176818.

Almost surely, 2^34813840 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 34813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41560398).

34813840 is an abundant number, since it is smaller than the sum of its proper divisors (48306956).

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

34813840 is a wasteful number, since it uses less digits than its factorization.

34813840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 34813840 is about 5900.3254147547. The cubic root of 34813840 is about 326.5256552755.

It can be divided in two parts, 34813 and 840, that added together give a palindrome (35653).

The spelling of 34813840 in words is "thirty-four million, eight hundred thirteen thousand, eight hundred forty".