34020441600 has 240 divisors, whose sum is σ = 116013765120. Its totient is φ = 8779161600.

The previous prime is 34020441593. The next prime is 34020441613. The reversal of 34020441600 is 614402043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176111 + ... + 1204689.

It is an arithmetic number, because the mean of its divisors is an integer number (483390688).

Almost surely, 2^34020441600 is an apocalyptic number.

34020441600 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 34020441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58006882560).

34020441600 is an abundant number, since it is smaller than the sum of its proper divisors (81993323520).

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

34020441600 is a wasteful number, since it uses less digits than its factorization.

34020441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28641 (or 28620 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34020441600 its reverse (614402043), we get a palindrome (34634843643).

The spelling of 34020441600 in words is "thirty-four billion, twenty million, four hundred forty-one thousand, six hundred".