34823485440 has 768 divisors, whose sum is σ = 135862272000. Its totient is φ = 8422686720.

The previous prime is 34823485429. The next prime is 34823485441. The reversal of 34823485440 is 4458432843.

It is a happy number.

34823485440 is a `hidden beast` number, since 3 + 48 + 23 + 48 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34823485441) 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 63 ways as a sum of consecutive naturals, for example, 145704841 + ... + 145705079.

It is an arithmetic number, because the mean of its divisors is an integer number (176904000).

Almost surely, 2^34823485440 is an apocalyptic number.

34823485440 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 34823485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136000).

34823485440 is an abundant number, since it is smaller than the sum of its proper divisors (101038786560).

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

34823485440 is a wasteful number, since it uses less digits than its factorization.

34823485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 34823485440 in words is "thirty-four billion, eight hundred twenty-three million, four hundred eighty-five thousand, four hundred forty".