34440322400001 has 30 divisors (see below), whose sum is σ = 58034867894770. Its totient is φ = 19680184216224.

The previous prime is 34440322399963. The next prime is 34440322400017. The reversal of 34440322400001 is 10000422304443.

It is a happy number.

34440322400001 is a `hidden beast` number, since 34 + 4 + 403 + 224 + 0 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31664929665600 + 2775392734401 = 5627160^2 + 1665951^2 .

It is not a de Polignac number, because 34440322400001 - 2¹⁵ = 34440322367233 is a prime.

It is a super-3 number, since 3×34440322400001³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34440322400021) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 796876036 + ... + 796919253.

Almost surely, 2^{34440322400001} is an apocalyptic number.

It is an amenable number.

34440322400001 is a deficient number, since it is larger than the sum of its proper divisors (23594545494769).

34440322400001 is an equidigital number, since it uses as much as digits as its factorization.

34440322400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593795323 (or 1593795299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34440322400001 its reverse (10000422304443), we get a palindrome (44440744704444).

The spelling of 34440322400001 in words is "thirty-four trillion, four hundred forty billion, three hundred twenty-two million, four hundred thousand, one".